Abstract

In this paper, an investigation of unsteady free convective magneto-hydro dynamic (MHD) flow of salty water in the presence of a transverse magnetic field has been carried out. An electrically conducting and incompressible fluid is assumed to flow past a semi-infinite vertical porous plate. A constant magnetic field is applied normally to the vertical plate. The Prandtl numbers for salt water are taken to be 1 at 20˚C. The governing equations of the problem contain non-linear partial differential equations that are transformed into ordinary differential equations. An explicit finite difference scheme has been used to solve the transformed ordinary equations generated from this flow problem. The velocity profiles and temperature distribution of the flow field have been discussed and presented graphically.

Highlights

  • Water is a very useful fluid in every day to day operations for engineers and generally in life

  • An electrically conducting and incompressible fluid is assumed to flow past a semi-infinite vertical porous plate

  • The governing equations of the problem contain non-linear partial differential equations that are transformed into ordinary differential equations

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Summary

Introduction

Water is a very useful fluid in every day to day operations for engineers and generally in life. Pure water refers to fresh water, while impure water is water containing impurities. Impurities are foreign materials introduced to fresh water. These materials include dust, oil smoke salts among others. Fresh and salt water have contributed immensely to the advancement of scientific innovations of machines such ships and generation of electricity. It is noted that in this research, salty water constantly interacts with

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