Correct Answer : Bernoulli’s principle
Explanation : An aircraft fly based on Bernoulli’s principle. As the air speed increases, the pressure decreases which results in high lift generation. According to this principle, the pressure is inversely proportional to velocity.
Correct Answer : Inviscid, incompressible flow
Explanation : Bernoulli’s equation is applicable only for inviscid and incompressible flow because in inviscid flow, the viscosity is zero and hence no viscous forces acts on the body also incompressible flow means the density remains constant. The inviscid and incompressible flow reduces many fluid problems.
Correct Answer : Stagnation point
Explanation : Stagnation point is the point where the flow slows down and come to rest. The streamline divides the flow into two parts- the upper flow and the lower flow. At a point, the flow cannot enter into an object so it has to stop and that point is called a stagnation point.
Correct Answer : Static and dynamic pressure
Explanation : The total pressure or stagnation pressure is the sum of static and dynamic pressure. Let p0 be the total pressure, ps be the static pressure and pd be the dynamic pressure.Therefore, p0 = ps + pd.
Correct Answer : Conservation of energy
Explanation : It states that the sum of all the forms of energy in flow is the same at all the points in that flow field. The energy here refers to kinetic energy, potential energy and internal energy.
Correct Answer : higher mach numbers
Explanation : Bernoulli’s principle states that increasing the velocity decreases the pressure which gives us a higher lift. If the matches the number increases, gradually the pressure decreases which leads to an increase in lift.
Correct Answer : pV=nRT
Explanation : In an ideal gas, molecules does not have volume and hence they do not interact with each other. For an ideal gas, the pressure is directly proportional to temperature and is inversely proportional to volume.
Correct Answer : Quasi 1D flow
Explanation : Generally, the flow field properties are uniform across any cross section and hence, they vary only in x-direction. All the flow parameters are assumed to be the function of x. A=A(x), V=V(x), p=p(x) and since they vary only in one direction they are called quasi 1D flow.
Correct Answer : constant
Explanation : In incompressible flow, the density remains constant because of which the fluids cannot be compressed and are called as incompressible fluids. Water is the best example of incompressible fluids. But still some extent we can compressible water.
Correct Answer : throat
Explanation : When the flow enters the wind tunnel (convergent-divergent) with a velocity V1 and pressure P1. The velocity increases and the pressure decreases at the minimum area section called the throat. Pressure is minimum at the throat.
Correct Answer : Convergent-divergent duct
Explaination : The velocity increases in the convergent duct (V1) and the reaches V2 at the throat and the pressure becomes minimum at the throat condition. In the divergent section, the velocity decreases and the pressure begin to increases.
Correct Answer : Divergent section
Explanation : The purpose of the diffuser is to reduce the velocity. In order to decrease the velocity, the wind tunnel is designed in such a way that the area in the divergent section decreases and the pressure in this section increases further.
Correct Answer : Low speed wind tunnel
Explanation : Low speed wind tunnel is a large venturi where the airfoil is driven by a fan connected to some type of motor drive. The wind tunnel fan is similar to the propeller of an aircraft and is designed to draw the airflow through the tunnel circuit.
Correct Answer : venturi duct
Explanation : In venturi duct, the pressure at the throat(p2) is lower than the pressure at the inlet(p1). The pressure difference p2-p1 helps to force the fuel into the airstream and mix it with the airstream downstream of the throat.
Correct Answer : temperature
Explanation : Using venturi, velocity can be measured. We can calculate the pressure difference using venturi. In the duct, we can place pressure gauge which will directly give us the pressure difference (p2-p1). This pressure difference can be related to velocity using Bernoulli’s equation and hence, the velocity can be calculated.
Correct Answer : Static
Explanation : Static pressure is the measure of purely random motion of the molecules of the gas. It is the pressure which we can feel when we ride along with the gas at the local flow velocity. For reference, we always consider pressure as static pressure.
Correct Answer : Using the pressure difference
Explanation : The pitot tube is closed at one end and is opened from other ends. When the air is filled inside the tube, the pressure at the open end equals to total pressure and it differs from the pressure outside the tube. Using this pressure difference and applying Bernoulli’s equation, the speed of air can be calculated.
Correct Answer : Pitot static probe
Explanation : A pitot static probe is to combine the measurement of static and total pressure. It measures p0 at the nose of the probe and p1 at a suitably placed static pressure tap on the probe surface downstream of the nose.
Correct Answer : difference of total and static pressure
Explanation : In incompressible flow, the dynamic pressure has a special meaning, it is a difference between the total pressure and the static pressure. Let p0 be the total pressure and p1 be the static pressure.Therefore, the dynamic pressure (q)= total pressure (p0)- static pressure (p1).
Correct Answer : absolute pressure
Explanation : Absolute pressure is measured with respect to vacuum. A vacuum has an absolute pressure of 0 psi. It is also defined as the sum of gauge pressure and atmospheric pressure.
Correct Answer : position errors
Explanation : The errors that occur due to the location of pitot tube on an aircraft and also due to the effect of localized airflow over the pitot tube are called as position errors. These errors are needed to be considered while calculations.
Correct Answer : 90 degrees
Explanation : The lower end of the tube is bent at an angle of 90 degrees. The liquid rises up in the tube due to the conversion of kinetic energy into the pressure energy. The velocity is determined by measuring the rise of the liquid in the tube.
Correct Answer : pressure energy
Explanation : When the velocity of the flow becomes zero, the pressure is increased due to the conversion of kinetic energy into pressure energy which leads to the generation of the pressure difference.
Correct Answer : dimensionless quantity
Explanation : Although pressure is dimensional quantity, Coefficient of pressure is dimension less quantity. It is used throughout the aerodynamics from incompressible flow to hypersonic flow. In aerodynamics, it is very easy to find coefficient of pressure rather than pressure.
Correct Answer : stagnation point
Explaination : At stagnation point, the value of velocity is 1 and therefore Cp = 1 – (V2/ V1)2Gives the value of the coefficient of pressure as 1. This is true only for incompressible flow. Stagnation point gives the highest value of the coefficient of pressure.
Correct Answer : velocity
Explaination : In incompressible flow, the pressure and velocity at two different points can be given by-P1+0.5*ρ*V12 = P2+0.5*ρ*V22From here we get, P2-P1 = 0.5*ρ (V12– V22)Hence, Cp = (P2-P1)/qWhere q-dynamic pressureOn solving the above equation we get, Cp = 1 – (V2/ V1)2.
Correct Answer : pitot tube
Explanation : Pitot tube is a tube bent in L shaped. The one end of the pitot tube is exposed to air so that it can directly come in contact with the flow velocity. The pressure inside this tube is used to measure the velocity.
Correct Answer : mercury column manometer
Explanation : This type of manometers are used to measure the pressure as well as compare it with the hydrostatic force per unit area at the base of the column. They have a poor dynamic response.
Correct Answer : airfoil
Explanation : The shape of the wing is called airfoil. When the flow passes over an airfoil, it produces aerodynamic forces. Instead of analyzing the complete wing, the analysis is done on an airfoil which gives similar characteristics like a wing.
Correct Answer : directly proportional to each other
Explanation : Gay-Lussac’s law states the relationship between temperature and pressure. They are directly proportional to each other. Increase in temperature increases the pressure and vice versa. When the temperature increases, the gas molecules move faster and hence the pressure increases.
Correct Answer : inversely
Explanation : Pressure is inversely proportional to altitude. As altitude increases, pressure decreases and vice versa because the air molecules are pulled downwards due to the gravitational force of the earth and hence, all the molecules are close at lower altitude thus generating higher pressure at lower altitudes.
Correct Answer : drag polar
Explanation : It is called drag polar and it gives the relation between the lift and drag of the aircraft. It describes the amount of lift generated per drag produced. Cl/Cd ratio must be high. The amount of lift generated should be more with relatively less drag.
Correct Answer : steady uniform flow
Explanation : The flow in which the flow parameters do not change with respect to time is called a steady uniform flow. The steadiness and uniformity need not occur together. The flow particles move in a line with constant velocity.
Correct Answer : non-uniform flow
Explanation : The flow in which all the hydrostatic parameters change from one point to other is called non-uniform flow. The changes may be in direction of flow or in the direction perpendicular to the flow. The example of the changes perpendicular to the flow is the flow over the solid bodies.
Correct Answer : steady non-uniform flow
Explanation : The flow in a tapering pipe has variable geometry. The cross section of the tapered pipe is not uniform but the rate of fluid flow is constant throughout the flow. Any duct which has non-uniform cross section but the hydrostatic parameters remain constant fall under this category.
Correct Answer : intersect each other
Explanation : Two pathlines can intersect each other because the same particle or the different particle may come again at the same place at different time. Moreover, pathline is just a path followed by the fluid particle. Two or more fluid particles can follow the same path.
Correct Answer : same
Explanation : A pathline is a path followed by a fluid flow particle. Whereas, streamline is a point in the fluid flow at which if a tangent is drawn, it gives the direction of the fluid flow. But in a steady flow, the velocity remains constant throughout the flow, hence the pathline and streamline become the same.
Correct Answer : source flow
Explanation : In a source flow, the flow velocity is directed away from the origin. All the streamlines are the straight lines and they vary inversely with distance which means as the distance increases the velocity decreases.
Correct Answer : sink flow
Explanation : The flow in which the streamlines are directed towards the origin is called as sink flow. The sink flow is simply the negative of source flow. The streamlines vary inversely with the distance that is as the distance decreases the velocity increases.
Correct Answer : singular point
Explanation : For a source flow, divergence of velocity is zero everywhere expect at the origin where it is infinite. Thus, the origin is a singular point and we can interpret this singular point as a discrete source or sink of a given strength, with a corresponding induced flow field about the point.
Correct Answer : velocity potential function
Explanation : Velocity function is the scalar function of space and time such that its negative derivative with respect to any direction gives the fluid velocity in that direction. It is defined by phi (?). Mathematically, it is given by, ?= f(x,y,z).
Correct Answer : irrotational
Explaination : When the rotational components are zero, it means that the flow travels in a linear direction and the velocity potential gives the direction of fluid velocity in a particular direction. In irrotational flow, the velocity of the fluid travels in a linear direction.
Correct Answer : streak lines
Explanation : The locus of all the points that have passed through a fixed point is called a streak line. The flow will pass through a fixed point to any other point at any instant. The locus of these points is streamline.
Correct Answer : stream function
Explanation : Stream function is defined as the scalar function of space and time such that its partial derivative with respect to any direction gives the velocity component at right angles to that direction. It is valid only for 2D flow and is denoted by Ψ.
Correct Answer : 2D flow
Explanation : Stream function are applicable only for 2D flow. It is denoted by psi (Ψ). For a steady state flow, it is given by- Ψ=f(x,y), such thatδΨ/δx=v and δΨ/δy=u.
Correct Answer : equipotential line
Explaination : The line along which the velocity potential (Φ) is constant is called a equipotential line. For an equipotential line,Φ=constant and also dΦ=0The slope for the equipotential line can be given as=dy/dx.
Correct Answer : flow net
Explanation : The grid obtained by drawing a series of equipotential lines and stream lines is called a flow net. A flow net is an important tool in analyzing two-dimensional flow problems.
Correct Answer : doublet
Explanation : Doublet is the special case of source and sink with equal strength. Let q and -q be the strength of source and sink respectively. Let 2a be the distance between the source and sink and it approaches zero. The product 2a*q is called as doublet strength.
Correct Answer : mass to volume
Explanation : Density is the ratio of mass to volume and is measured in kilograms per meters cube. The density of the liquids remains constant while the density of gases changes with the variation of pressure and temperature.
Correct Answer : no slip condition
Explanation : At the boundary of solids, the velocity at a point becomes zero. Dirichlet’s condition is an example of no slip-condition. When the adhesive forces are stronger than cohesive force the particle does not move and hence no slip-condition occurs.
Correct Answer : sonic boom
Explanation : The sound which is related to shock waves that are created by the object travelling faster than the speed of sound is called a sonic boom. When an aircraft travels with a high speed, series of pressure waves are also created and these when combine together leads to sonic boom.
Correct Answer : buoyancy
Explanation : When a body is immersed in a fluid, an upward fluid is exerted by the fluid on the body. This upward force is equal to the weight of the fluid displaced by the body and is called as buoyancy or the force of buoyancy.
Correct Answer : surface tension
Explanation : The surface tension is the property of a fluid which occurs because of the cohesive force between the molecules of the fluid. In a jet of oil, the molecules of oil and the air interact and also the molecules of the oil try to acquire the minimum area.
Correct Answer : Mach number
Explanation : The inertial force is given by-ρ*L2*V22 and the elastic force is given by- K*X*A.Therefore, the mach number is given by- ρ* L2* V2/K*X*A which gives, V2/(K/ρ).
Correct Answer : flow past a circular cylinder
Explanation : In the above figure, the first diagram shows the uniform flow whereas, the second one shows the doublet flow (source sink combination of equal strength). The combination of these two leads to the flow past a cylinder.
Correct Answer : sum of stream function of uniform flow and doublet flow
Explanation : The stream for the resultant flow can be given by the sum of stream function of uniform flow and doublet flow. Here we need to consider cylindrical coordinates. Mathematically,Ψ = U*y + ((-u/2*pi*r)*sin θ.
Correct Answer : Rankine oval of equal axes
Explanation : The flow past cylinder is called a Rankine oval of equal axes as it was discovered by Rankine and also the flow parameters on the upper and lower surface of the doublet flow remains the same.
Correct Answer : horizontal line
Explaination : The shape of the Rankine oval of equal axes can be given by substituting the stream function as zero in the equation Ψ = U*y + ((-u/2*pi*r)*sin θ. When sin θ=0, θ=0, then a horizontal line through the origin of the doublet is formed and it is x-axis.
Correct Answer : No lift
Explanation : The pressure distribution over the top of the cylinder is exactly balanced the lower of the cylinder and also, the pressure distribution over the front of the cylinder is balanced by the pressure over the back of the cylinder and hence no lift is generated.
Correct Answer : closed body profile
Explaination : The shape of the Rankine oval of equal axes can be given by substituting the stream function as zero in the equation Ψ = U*y + ((-u/2*pi*r)*sin θ. When U*y+ ((-u/2*pi*r) =0, a closed profile body is a circular cylinder of radius R with the centre on the doublet.
Correct Answer : concentric circles
Explanation : The free vortex flow is a circulatory flow of the fluid such that its stream lines are concentric circles. The velocity components for a free vortex flow are Ur and Uθ and is equal to Ur=0 and Uθ=circulation/ 2*pi*r.
Correct Answer : free vortex flow
Explaination : The above figure shows the concentric circles along with streamlines. Here, the stream function is a function of radius and it is constant value and hence the streamlines are concentric.
Correct Answer : flow past a half body
Explanation : When a uniform of velocity U combines with a source flow of strength q, the resultant flow is a flow over a half body.
Correct Answer : metacenter is above gravity
Explanation : In case of a floating object, the metacenter should always be above gravity. Metacentre is the point about which a body starts oscillating when the body is tilted by a small angle. In the case of a floating body, the weight of an object is equal to the amount of fluid displaced.
Correct Answer : Principle of moments
Explanation : The centre of pressure can be calculated using a principle of moments which states that the moment of the resultant force about an axis is equal to the sum of moments of the components about the same axis.
Correct Answer : potential lines
Explanation : Potential lines are eccentric non-intersecting circles with their centres on x-axis. The potential lines for source pair will be eccentric non-intersecting circles.
Correct Answer : The pressure difference between upstream and downstream direction of flow
Explanation : A circular cylinder produces large drag due to the pressure difference between upstream and downstream of the flow. The difference in pressure is causes by the periodic separation of flow over the surface of the cylinder. This will increase the drag in the cylinder.
Correct Answer : Due to fluctuations in the flow
Explanation : The difference in pressure is caused by the periodic separation of flow over the surface of the cylinder. Periodic separation induces fluctuations in the flow and makes cylinder vibrate in the wind tunnel.
Correct Answer : Roughened surfaces
Explanation : To reduce the amount of drag on a cylinder various active and passive flow control method have been employed and tested successfully.T hese method include dimpled surfaces, trip wires, roughened surfaces.
Correct Answer : 48%
Explanation : A 48% drag reduction of a cylinder by installing a much smaller cylinder in the upstream direction of flow. The shear layer coming from the smaller cylinder changes the pressure distribution around the layer cylinder in such a way that the drag is dramatically altered.
Correct Answer : Smoke flow visualization
Explanation : The visualization technique such as smoke flow visualization, surface oil film technique, particle image velocimetry have been employed to locate the position of transition and separation of a boundary layer.
Explanation : Smoke flow visualization has been used by bakic and peric to visualize the delayed separation of the flow over a smooth sphere. The flow separation occurs when the boundary layer travels far enough against an adverse pressure gradient.
Correct Answer : Spinning cylinder
Explanation : A finite lift is measured for the spinning cylinder in the wind tunnel.T he friction between the fluid and the surface of the cylinder tends to drag the fluid near the surface in the same direction as the rotational motion.
Correct Answer : Lower part
Explanation : The stagnation point moves to the lower part of the cylinder, similar to the theoretical flow. If the spin is sufficiently increased the stagnation point lifts off the surface. Position of stagnation point is a strong function of circulation, with zero circulation stagnation point lies at zero.
Correct Answer : Due to viscous effect
Explanation : Drag is due to a viscous effect, which generate a frictional shear stress at the body surface and which causes the flow to separate from the surface on the back of the body. At the leading edge of the cylinder, a stagnation point is formed. Where the oncoming flow is brought to rest. The pressure here is equal to the stagnation pressure. At the adjacent to the cylinder surface, a thin boundary layer is formed. Which causes the drag on the cylinder.
Correct Answer : Zero
Explanation : Pressure distribution over the top half of the cylinder is equal to the pressure distribution over the bottom half and hence the lift must be zero. The air flows on the cylinder is deflected the same amount upward as the flow is deflected downwards at the rear of the cylinder. So the up wash equalizes the downwash in terms of resulting reaction forces. In the end, the free stream hasn’t been deflected at all but still, lift exists.
Correct Answer : True
Explanation : The Kutta-Joukowski theorem relates the lift generated by an airfoil, to the speed of the airfoil. Through the fluid, the density of the fluid and the circulation. This theorem relates lift to circulation much like the Magnus effect relates to side force to the rotation.
Correct Answer : Line integral around a closed loop enclosing the airfoil
Explanation : Circulation is defined as the line integral around a closed loop enclosing the airfoil of the component of the velocity of the fluid tangent to the loop. To calculate the force on an airfoil, outside the boundary layer the vorticity is zero, everywhere the circulation is the same around every circuit.
Correct Answer : Lift per unit span on the airfoil
Explanation : The Kutta-Joukowski theorem states that lift per unit span on a Two-Dimensional body, is directly propositional to the circulation around the body. It is a fundamental theorem of aerodynamics used for the calculation of the lift of an airfoil and any two-dimensional body.
Correct Answer : Angle of attack greater than zero
Explanation : A lift producing airfoil either has camber or is translating in a uniform fluid at an angle of attack greater than zero. Moreover, it must have a sharp trailing edge. An airfoil generates lift by exerting a downward force on the air as it flows past.
Correct Answer : Lower and upper surface
Explanation : Fluid moving along the lower and upper surface of the airfoil should meet at the sharp trailing edge. Since viscous dissipation prevents the fluid to turn around the sharp edge. This is known as the Kutta-Condition for real flow.
Correct Answer : Large number of unsteady flow
Explanation : When there are free vortices outside of the body as may be the case for a large number of unsteady flow, the flow is rotational. A fluid is said to be rotational if fluid particles are rotating about their own mass center, otherwise, flow is irrotational.
Correct Answer : two-dimensional flow around an airfoil
Explanation : Kutta-Joukowski theorem refers to Two-Dimensional flow around an airfoil and determines the lift generated by one unit of a span. Kutta-Joukowski theorem is an inviscid theory, but it is a good approximation for real viscous flow in typical aerodynamic applications.
Correct Answer : Joint effect of camber
Explanation : Rotating flow is induced by the joint effect of camber, angle of attack and sharp trailing edge of the airfoil and should not be confused with a vortex like a tornado encircling the cylinder or wing of an airplane in flight.
Correct Answer : Pressure and lift
Explanation : Kutta and Joukowski discovered that for computing, the pressure and lift of a thin enough airfoil for flow with large enough Reynolds number and at small enough angle of attach the flow can be assumed inviscid in the entire region provided the Kutta condition is imposed.
Correct Answer : Irrotational
Explanation : The flow outside the airfoil is irrotational and the circulation around any closed curve not enclosing airfoil is consequently zero. When the boundary layer separates, its displacement thickness increases sharply, which modifies the outside potential flow and pressure field.
Correct Answer : to find a numerical method
Explanation : The purpose of non-lifting flow over an arbitrary bodies is to find a numerical method for appropriate solution on a high speed digital computer. The technique is called the source panel. The numerical solution of potential flows by both source and vortex panel techniques has revolutionized the analyses of low speed flows.
Explanation : Source sheet is used to cover the surface of the arbitrary body were the strength varies in such a fashion that the combined action of the uniform flow and the source sheet makes the airfoil surface as stream line of the flow.
Explanation : The direction of the outward unit normal vector is positive when directed away from the body and it is carried out in the denominator at a singular point arises on the ith panel because the control point itself can be the contribution to the j=1 panel.
Correct Answer : Sum of the freestream
Explanation : The normal component of the flow velocity at the rth control point is the sum of that due to the free stream and that due to the source panels. The boundary condition stats that this sum must be zero and it is the cruse of the source panel method.
Correct Answer : It allows it to varies from one panel to next panel
Explanation : The source strength ‘X’ per unit length be constant over a given panel but allow it to vary from one panel to the next, that if there are total n panel. The source panel strength per unit length is ‘Xn’. Therefore boundary condition is imposed numerically by defining the midpoint of each panel.