Write the Boundary Conditions for two-dimensional incompressible flow between parallel plates shown in figure
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- Describe (i) Navier-stokes equation (ii) turbulent fluxProve: For a sphere in unrestricted three-dimensional flow the added mass (also known as the “induced mass”) is half the mass of the fluid displaced by the sphere. (Hint: use potential flow theory). Please do not copy from cheggConsider a two-dimensional flow which varies in time and is defined by the velocity field, u = 1 and v = 2yt. Compute the convective derivative of each velocity component: Du/Dt and Dv/Dt.
- 1. Explain turbulent boundary layers and ability to formulate energy equation for fluid flow over horizontal Flat pate system.c) Drive the formula for Pipe flow system.In your own words, c. Explain why the stream function ψ is restricted to 2-D flows and you have to use the velocity potential ζ to define 3-D flows.Prove that three-dimensional source flow is irrotational.
- The stream function for an incompressible, two-dimensional flow field iswhere a and b are constants. Is this an irrotational flow? Explain.By using the expression for the shear stress derived in class (and in BSL), show that the shear force on asphere spinning at a constant angular velocity in a Stokes’ flow, is zero.This means that a neutrally buoyant sphere (weight equal buoyancy force) that is made to spin in aStokes’ flow, will neither rise nor fall, nor translate in any preferential direction in the (x-y) plane. expressions for velocity are: v_r (r,θ)= U_∞ [1-3R/2r+R^3/(2r^3 )] cosθ v_θ (r,θ)= -U_∞ [1-3R/4r-R^3/(4r^3 )] sinθ Where v_r and v_θ are the radial and angle velocity, U_∞ is the velocity of fluid coming to sphere which very faar away from the sphere. And R is the radius of sphere.Explain what is Reynolds Transport Theorem (RTT)
- Explain the importance of the Reynolds transport theorem in fluid mechanics, and describe how the linear momentum equation is obtained from it.The flow boundary layer in a diffuser with an angle of 30 degrees is detached from the wall surface, causing flow separation due to………….. Fill the bank with the correct answerWhat are unique physical characteristics of the rotational flow in contrast to the irrotational flow?Determine whether the flow is rotational or irrotational using an expression for the vorticity of the flow field described by V = x2y i + xy2 j. (Please type answer no write by hend)