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The mathematical modeling of transport of Reynolds shear stress, sub layers of turbulence fluid flow and viscous incompressible fluid flow would be the subject of this thesis. A generalized wall function proposed Shih et al (1999), it accounts the effect of pressure gradients on the flow near the wall. Theory shows that the effect of pressure gradients on the flow in the inertial sub layer is very significant and the standard wall function should be replaced by a generalized wall function.doi:10.20372/nadre:1554185610.51 fatcat:gp4k4j7c65f4rprsfygpmjbiiy