Question: please answer question (b) For the below accelerating flow, we want to find the velocity profile using the integral momentum approximation. (a) The governing equation

please answer question (b)
For the below accelerating flow, we want to find the velocity profile using the integral momentum approximation. (a) The governing equation for the accelerating flows is given as tvx=y22vx. From the governing equation, show that dtd0vxdy=yvxy=0 Hint: Integrate the governing equation with respect to y, and use the boundary condition. (b) When Vx is given as the following equations, show that dtd=4 Uvx=123(t)y+21((t)y)3for0y(t)Uvx=0fory(t)((t):time-dependentboundarylayerthicknes) Hint: Put the Vx into the equation (1). (c) Find (t) by integrating the equation (2) with respect to t. Then, find the complete Vx by putting (t) into the equation (3). For the below accelerating flow, we want to find the velocity profile using the integral momentum approximation. (a) The governing equation for the accelerating flows is given as tvx=y22vx. From the governing equation, show that dtd0vxdy=yvxy=0 Hint: Integrate the governing equation with respect to y, and use the boundary condition. (b) When Vx is given as the following equations, show that dtd=4 Uvx=123(t)y+21((t)y)3for0y(t)Uvx=0fory(t)((t):time-dependentboundarylayerthicknes) Hint: Put the Vx into the equation (1). (c) Find (t) by integrating the equation (2) with respect to t. Then, find the complete Vx by putting (t) into the equation (3)
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