International Research journal of Management Science and Technology

  ISSN 2250 - 1959 (online) ISSN 2348 - 9367 (Print) New DOI : 10.32804/IRJMST

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HOMOTOPIC PERTURBATION HANDLING OF STEADY LAMINAR ENFORCED CONVECTION TIDE ENDED A NONLINEARLY ELONGATING PERMEABLE PANE

    1 Author(s):  MANISH KUMAR

Vol -  9, Issue- 8 ,         Page(s) : 109 - 118  (2018 ) DOI : https://doi.org/10.32804/IRJMST

Abstract

The steady two-dimensional laminar enforced convection boundary layer tide of an incompressible viscous Newtonian melted ended a nonlinearly elongating permeable (permeable) pane with suction is considered. The pane’s permeability is also considered to be nonlinear. The boundary layer equations are transformed by similarity transformations to a nonlinear ordinary differential equation (ODE). Then the homotopic perturbation method (HPM) is used to solve the resultant nonlinear ODE. The dimensionless entrainment parameter and the dimensionless pane surface shear stress are obtained for various values of the suction parameter and the nonlinearity factor of pane elongating and permeability. The results indicate that the dimensionless pane surface shear stress decreases with the increase of suction parameter.

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