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Problem - 1

Derive the boundary layer equation for two dimensional flow of aincompressible and compressible fluid over a flat plate or along a flat

plate.

Problem - 2

Derive the boundary layer equation for two-dimensional flow of a

viscous compressible/incompressible fluid flow over along a curved

surface.

Problem - 3

Derive the boundary layer equation for incompressible and

compressible fluid flow along a flat plate in a rotating coordinate

system.

Problem - 4

Establish the condition for similar solution of boundary layer

equation.Show that similar solution exists in general in the

neighbourhood of the stagnation point of a wedge.

Problem - 5

Discuss velocity distribution of the potential flow and show that the

velocity distribution of the potential flow is proportional to a power of

a length of arc measured along the plate from the stagnation point.

Problem - 6

Show that the boundary layer equation for two-dimensional

incompressible fluid flow past a flatplate can be reduced to a Blasius

equation,

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And solve it by power series. Also find the skin friction coefficient and

the drag force.

Problem - 7

Obtain the exact solution of the steady BLE for incompressible fluid

flow past a wedge.

Problem - 7

Deduce the Falknerman equation with boundary condition.

Problem - 8

Solve the boundary layer equation for steady 2-D incompressible fluid

flow in a convergent / divergent channel and hence show that

Problem - 9

Show that the solution of the boundary layer equation for steady 2-D

incompressible fluid flow in the wake of a flat plate at zero incidence is

given by

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Problem - 10

Derive/Deduce /Describe the energy integral equation for 2Dincompressible viscous fluid flow of boundary layer.

OR

Deduce the energy integral equation

where all symbols have their usual meaning.

Problem - 11

Deduce the momentum integral equation for boundary layer

unsteady/steady incompressible fluid flow.

OR

Deduce the Karmans integral equation for boundary layer flow of

incompressible viscous fluid.

OR

Derive the energy integral equation for boundary layer flow of

incompressible fluid.

OR,

Deduce the momentum integral equation for the boundary layer

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Problem - 12

Find the approximate solution of the boundary layer equation by

VonKarman-Pohlhausen method.

OR

Under steady condition solve the momentum integral equation in theform

Problem - 13

Deduce momentum and energy equation of thermal boundary layer for

two-dimensional flow of an incompressible fluid over a flat plate / along

a flat plate with geometrical configuration. Find the similar solutions of

momentum and energy equations of thermal boundary layer equations

for two-dimensional flow of an incompressible viscous fluid over a flat

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plate. Also find the velocity and temperature distribution from similar

solution of thermal boundary layer equation.

Problem - 15

Deduce the approximate integral method in laminar flow over a vertical

plate.

Problem - 16

Define forced and natural convection. Obtain the boundary layer

equation for free convection steady 2D flow of a viscous

incompressible fluid along a heated vertical flate plate, maintained

uniform temperature. Discuss the velocity & temperature distribution

in the boundary layer.