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THERMOCAPILLARITY AND VISCOUS DISSIPATION EFFECTS ON MHD THIN FILM FLOW OF A CASSON FLUID IN A NON-DARCY POROUS MEDIUM WITH VARIABLE THERMAL CONDUCTIVITY

DOI: 10.1615/ICHMT.2017.CHT-7.2010
pages 1905-1916

Gauri S. Seth
Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand-826004, India

Rajat Tripathi
Department of Applied Mathematics, Indian Institute of Technology (ISM) Dhanbad, India- 826004

Sinopsis

The investigation of hydromagnetic flow of a viscous, electrically conducting, Casson thin fluid film past an unsteady stretching sheet with variable thermal conductivity, under the influence of thermocapillarity and viscous dissipation, for Forchheimer extended Darcy model, is carried out. Similarity transformation is used to translate the governing partial differential equations into ordinary differential equations. Shooting technique in conjunction with Runge-Kutta 4th order method is employed to solve the transformed equations. Detailed computations for fluid velocity inside the thin film and fluid thin film temperature as well as local skin friction coefficient and local Nusselt number, are carried out for a range of values of pertinent flow parameters to analyze the physics of the film flow. It is observed that thermocapillarity enhance the velocity of fluid near the free surface. The kind of investigation we have done here has got various applications in engineering and may have claims in practical problems, namely, Very Large Scale Integration of electronic chips, film coating etc. The richness of ideas and phenomena discussed in the proposed study can be expected to lead to highly productive interactions across disciplines.

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