Similarity Solution Of Plane Turbulent Mixing Layer
Faruqe Ahmed, Ajanta Shukla Tanma
u Velocity component along X axis
v Velocity component along Y axis
w Velocity component along Z axis
ρ Density of the fluid
µ Absolute viscosity
υ Kinematic viscosity
υt Eddy viscosity
δ Mixing layer thickness
ψ Stream function
U1 High speed stream velocity
U2 Low speed stream velocity
–u´v´ Reynold’s shear stress
η Non dimensional distance
f(η) Non dimensional stream function
y1/2 Distance along y axis at which
(u – U2)/(U1 – U2) = 0.5
Abstract: This thesis has been performed for finding similarity solution of plane turbulent mixing layer. Considering the above situation continuity equation and momentum equation have been derived. Then, considering the momentum equation for turbulent fluid flow a third order ordinary differential equation has been derived using similarity transformations which is the governing equation. Finally numerical solution of the governing equation has been achieved by the improvisation of known boundary conditions into the initial boundary conditions. Here, MATLAB has been used to develop a computer program to solve the governing equation using fourth order Runge-Kutta method.
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