Abstract

In this paper, a numerical simulation has been carried out on unsteady hydromagnetic free convection near a moving infinite flat plate in a rotating medium. The temperatures involved are assumed to be very high so that the radiative heat transfer is significant, which renders the problem highly non-linear even with the assumption of a differential approximation for the radiative heat flux. A numerical method based on the Nakamura scheme has been employed to obtain the temperature and velocity distributions which are depicted graphically. The effects of the different parameters entering into the problem have been discussed extensively.

Highlights

  • In recent years, an extensive research effort has been directed towards the theory of rotating fluids owing to its numerous applications in cosmical and geophysical fluid dynamics, meteorology and engineering [1]

  • Successive substitution and iteration are continuously executed for each time step until convergence is reached

  • Gr > 0 (= 10) is used for the case when the flow is in the presence of cooling of the plate by free convection currents

Read more

Summary

INTRODUCTION

An extensive research effort has been directed towards the theory of rotating fluids owing to its numerous applications in cosmical and geophysical fluid dynamics, meteorology and engineering [1]. Batchelor [2] studied the Ekman layer flow on a horizontal plate. The flow past a horizontal plate has been studied by Debnath [3,4,5], Puri and Kulshrestha [6], Tokis and Geroyannis [7]. Investigations on the flow past a vertical plate have been carried out by Tokis [8], Kythe and Puri [9]. The problem of thermal radiation has been approached by Ghosh and Pop [12], Raptis and Perdikis [13]. Since high temperature phenomenon abound in solar physics, in astrophysical studies, radiation effects cannot be neglected. Porates radiative transfer into the studies, thereby widening the applicability of the results. Where T' is the temperature of the fluid, subscript ∞ will be used to denote conditions in the undisturbed fluid and σ is the Stefan-Boltzmann constant

MATHEMATICAL ANALYSIS
OF RESULTS

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.