Transforming the Non-Linear PDES Governing the Viscous Fluid Flow into Nonlinear ODES and Investigation of Influence of Inclined Magnetic Field and Thermophoresis on Heat and Mass Transfer Wedge

Nzyoka F. K., Kimathi M., Magua A., Kinyanjui J. N., Kamau J.N.

Abstract: Nonlinear partial differential equations are transformed into nonlinear ODES using some similarity transformations. From these ODES, the numerical solutions have been obtained using the collocation method, which is in turn implemented in MATLAB software via the bvp4c function. The results of the simulation are presented graphically to depict the effects influence of the above stated parameters on the velocity, temperature and concentration profiles. The results of this study reveal that for this study, fluid velocity is increased by increase in magnetic inclination angle, while concentration and fluid temperature decreases with increase in inclination angle.

Keywords: ODE, PDE, Boundary Layer, MHD, inclined angle.

Title: Transforming the Non-Linear PDES Governing the Viscous Fluid Flow into Nonlinear ODES and Investigation of Influence of Inclined Magnetic Field and Thermophoresis on Heat and Mass Transfer Wedge

Author: Nzyoka F. K., Kimathi M., Magua A., Kinyanjui J. N., Kamau J.N.

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

Research Publish Journals

Vol. 5, Issue 2, October 2017 – March 2018

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Transforming the Non-Linear PDES Governing the Viscous Fluid Flow into Nonlinear ODES and Investigation of Influence of Inclined Magnetic Field and Thermophoresis on Heat and Mass Transfer Wedge by Nzyoka F. K., Kimathi M., Magua A., Kinyanjui J. N., Kamau J.N.