Flow of a non newtonian fluid in presence of magnetic field through different channels

Abstract

The present study is entitled FLOW OF A NON-NEWTONIAN FLUID IN PRESENCE OF newlineMAGNETIC FIELD THROUGH DIFFERENT CHANNELS in the Department of newlineMathematics and Statistics in SHUATS, Prayagraj (Allahabad). newlineThe introduction of fluid dynamics and its related fields is given in the first chapter along with newlinethe objectives of work. Review of literature is mentioned in chapter two. After studying the newlineconcerned literature, we have considered the flow of the fluid in the presence of field magnetic newlinefield through following channels:- newline(i) Circular Tube. newline(ii) Inclined Parallel Plates. newline(iii) Infinite Parallel Porous Plates. newlineAfter applying the magnetic field and boundary conditions on the above channels, the equations newlinefor the flows have been solved using the following parameters. newline(i) Dimensions of the channels. newline(ii) The magnetic field. newline(iii) Inclinations of channels. newline(iv) Non-Newtonian factor. newlineFor the flow of dusty fluids, related equations of fluid dynamics and electromagnetism have newlinebeen used to form differential equations and to use non-dimensions variables. We have solved newlinethem under the specified boundary conditions with the help of different mathematical newlinetechniques, Fourier transform, and Laplace transform. The expressions for both phases velocity newlineand dust containing other parameters have been derived. Then giving suitable numerical values newlineto these parameters in different sets in tables, the derived expression has been used to calculate newlinethe velocity of both phases fluid and dust, and their corresponding graphs have been prepared newlineby MATLAB program. newlineThey have been used to analyze the observations on a theoretical and mathematical base and to newlinejustify the results for consistency of the physical nature of the phenomena. At last, the overall newlineconclusion has been mentioned. newlineThe first chapter is the introduction. It explains definitions for all basis in the thesis, for newlineexample, the meaning of MHD, the definition of flow, the definition of the fluid, the Newtonian newlinefluid, the Non-Newtonian fluid, and the equations wh