Abstract

Research & Development in Material Science

Radiative Heat Transfer in the Chemically Reactive Unsteady MHD Squeezed Flow of Second Order Fluid with Heat Source

  • Open or Close Siddiqui AM1, Maqbool K2, Ayesha Sohail3 and Mann AB4*

    11Department of Mathematics, Pennsylvania State University, USA
    2Department of Mathematics & Statistics, International Islamic University, Pakistan
    3Department of Mathematics, COMSATS Institute of Information Technology, Pakistan
    4Department of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, Pakistan

    *Corresponding author: Mann AB, Department of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, Near Zero Point, G-7/1, Islamabad 44000, Pakistan, Tel: +92-51-9252860-863; Email: a_mann27@yahoo.co.uk

Submission: December 10, 2017;Published: March 27, 2018

DOI: 10.31031/RDMS.2018.04.000598

ISSN: 2576-8840
Volume4 Issue5

Abstract

This study investigates the radiative heat and mass transfer effects on squeezed flow of unsteady MHD second order fluid with heat source and chemical reaction. This study is carried out between two parallel circular plates under the assumption of axisymmetric squeezed flow. Similarity transform method is used to reduce the system of partial differential equation (PDE’s) into the system of ordinary differential equations (ODE’s). Advanced Collocation Method is used to find the solutions of nonlinear ordinary differential equations for velocity profile, pressure distribution, and temperature and concentration field. Effects of pertinent physical parameters on the computational results for the radial and axial velocity, pressure distrinution, and temperature and concentration profile are presented via graphs. The shear stress, heat transfer rate and mass transfer rate on the upper wall are also shown by the help of graphs.

Keywords: Heat source; Chemical reaction; Thermal radiation; Advanced collocation method, Second order fluid; MHD squeezing flow

Nomenclature: B: Total Magnetic Field; J: Current Density; M: Hartmann Number; P: Pressure; Q: Heat Source Parameter; R: Chemical Reaction Parameter; R: Chemical Reaction Parameter; S: Squeezed Number; Pr: Prandtl Number; Rd: Radiation Parameter; Sh: Local Sherwood Number; Sc: Schmidt Number; h(t): Speed of the Upper Plate; u, w: Velocity Components; r, z: Cylindrical polar coordinates; t: Time; ϕ: Dimensionless Concentration; Ƞ: Similarity Variable; ɵ: Dimensionless Temperature; α1¬, α2: Second Grade Fluid Parameters; ϒ: Thermal Slip Parameter.

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