Boundary layer is the distance upto which there is a gradient in the velocity of the layer of the fluid flowing on the surface. So, the point where the boundary layer separates the surface, the velocity gradient in the y direction becomes zero and pressure gradient along the x direction becomes positive at the point of separation of boundary layer to the surface. So the correct answer is b)
b)du/dy=0 and dp/dx >0
The boundary layer flow separates from the surface if (a) du/dy = 0 and dp/dx =...
The boundary layer flow separates from the surface if (a) du/dy = 0 and dp/dx = 0 (b) du/dy = 0 and dp/dx > 0 (c) c/dy = 0 and dp/dx <0 (d) The boundary layer thickness is zero
3) (1 point) The boundary layer flow separates from the surface if (a) du/dy=0 and dp/dx = 0 (b) du/dy = 0 and dp/dx > 0 (c) du/dy = 0 and dp/dx < 0 (d) The boundary layer thickness is zero
3) (1 point) The boundary layer flow separates from the surface if (a) du/dy = 0 and dp/dx = 0 (b) du/dy = 0 and dp/dx > 0 (c) du/dy = 0 and dp/dx < 0 (d) The boundary layer thickness is zero
A fluid flow over a solid surface with a laminar boundary layer velocity profile is approximated by the following equation: Ý = 2 () – ()* for y so and, 4 = 0 for y> 8 i). Show that this velocity profile satisfies the appropriate boundary conditions. ii) Determine the boundary layer thickness, 8 = 8(x) by using the momentum integral equation for the equation in Question 3(b)(i).
2. For a boundary layer flow with U suction velocity Vo (0 is introduced at the wall to delay flow separation. (a) By integrating the boundary layer equations from porous wall across the boundary layer, show that the integral momentum equation is given by -constant over a porous plate as shown in Figure 1, a Ou where τνν-μ w- 1 оу y-o and (b) obtain the integral energy equation. (c) Perform the dimensionless analysis on the integral equations and discuss...
1. a) Solve the following linear ODE. dy * dx + 2y = 4x2, x > 0 b) Solve the following ODE using the substitution, u = dy (x - y) dx = y c) Solve the Bernoulli's ODE dy 1 + -y = dx = xy2 ; x > 0
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2-15. To illustrate ..boundary-layer" behavior, i.e., the effect of the no-slip condition for large Reynolds numbers, Prandtl in a 1932 lecture proposed the following model (lin- ear) differential equation: du du dy where e mimics the smal viscosity of the fluid. The boundary conditions are (1) u(0) 2, and (2) u remains bounded as y becomes large. Solve this equation for these conditions and plot the profile u(y) in the...
(b) For a laminar boundary layer on a flat plate the velocity profile uly) is given by 0-30:48) where U is the free stream velocity, y is the distance measured normal to the surface of the plate and is the boundary layer thickness. Determine equations for (i) the momentum thickness , and (8 marks) (ii) the boundary layer thickness d. (7 marks)
Water at 15.6 [°C] (with kinematic viscosity of 1.12 [cSt]) flows over a flat plate generatinga boundary layer. The thickness of the boundary layer at 0.50 [m] from the leading edge is 6 [mm] (a) Is the boundary layer laminar or turbulent at that point? (b) At what distance it becomes turbulent? (c) What is the layer thickness at that point?
Water at 15.6 [°C] (with kinematic viscosity of 1.12 [cSt]) flows over a flat plate generatinga boundary layer. The...
x dx dy + y) dx dy 0 (b (d a)(c) Answer: (a)
x dx dy + y) dx dy 0 (b (d a)(c) Answer: (a)