Abstract

This paper investigates the unsteady MHD flow of viscous fluid between two parallel rotating disks. Fluid fills the porous space. Energy equation has been constructed by taking Joule heating, thermal stratification and radiation effects into consideration. We convert system of partial differential equations into system of highly nonlinear ordinary differential equations after employing the suitable transformations. Convergent series solutions are obtained. Behavior of different involved parameters on velocity and temperature profiles is examined graphically. Numerical values of skin friction coefficient and Nusselt number are computed and inspected. It is found that tangential velocity profile is increasing function of rotational parameter. Fluid temperature reduces for increasing values of thermal stratification parameter. At upper disk heat transfer rate enhances for larger values of Eckert and Prandtl numbers.

Highlights

  • Yan and Soong [8] worked on flow and heat transfer between two rotating porous disks

  • Turkyilmazoglu [10] analyzed the rate of heat transfer of the fluid flow over a shrinking surface of rotating disk

  • Flow and heat transfer by an exponentially stretching sheet with thermal stratification effect are analyzed by Mukhopadhyay [16]

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Summary

Introduction

No doubt the fluid flow by rotating disks analyzed extensively because of its many industrial and engineering applications. Yan and Soong [8] worked on flow and heat transfer between two rotating porous disks. Turkyilmazoglu [10] analyzed the rate of heat transfer of the fluid flow over a shrinking surface of rotating disk. Flow and heat transfer by an exponentially stretching sheet with thermal stratification effect are analyzed by Mukhopadhyay [16]. Study of fluid flow with magnetic field has many applications in physics, chemistry, engineering, metallurgy, polymer industry, power generators, pump, droplet filters, electrostatic filters, reactors cooling, the design of heat exchangers, and accelerators. Zhang et al [23] discussed the nanofluids flow and heat transfer in porous media with MHD and radiation effects. Impact of dimensionless parameters on the velocity, temperature, skin friction coefficient and Nusselt number are examined through plots and tabular values

Problem Formulation
Re y00ð1 þ
Zeroth-order deformation problems
Convergence Analysis
Radial and axial velocity profiles
Tangential velocity profile
Dimensionless temperature profile
Concluding Remarks
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