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Analysis of Effect of Inclined Magnetic Field on MHD Boundary Layer Flow over a Porous Exponentially Stretching Sheet Subject to Thermal Radiation

  • R. A. Mutegi
  • J. A. Okello
  • M. Kimathi

Asian Research Journal of Mathematics, Page 20-33
DOI: 10.9734/arjom/2021/v17i930328
Published: 30 October 2021

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Abstract


MHD flow has a wide range of industrial applications such as MHD propulsion for space exploration, cooling of nuclear reactors, electronic packages, microelectronic devices, and many more. Due to this, a study on the MHD boundary layer flow of a viscous incompressible fluid over an exponentially stretching sheet with an inclined magnetic field in presence of thermal radiation is analyzed. The continuity, momentum, and energy equations governing the fluid motion are obtained. They are then transformed into a system of nonlinear ordinary differential equations using suitable similarity transformation variables. The resulting nonlinear ordinary differential equations are then transformed to a system of first-order ordinary differential equations and the numerical solution is executed using the collocation method.  The effects of the magnetic field, angle of inclination, radiation, Prandtl number, and the exponential stretching of the sheet on the velocity and temperature of the fluid are discussed. It is observed that velocity increases as the sheet is stretched and decreases as the magnetic field and angle of inclination of the magnetic field increases. Temperature increases as magnetic field, angle of inclination, and radiation increase and lowers as the stretching and stratification parameter of the sheet and Prandtl number increases. The findings of this study are in agreement with other previously related work done.


Keywords:
  • Inclined magnetic field
  • hydrodynamic boundary layer flow
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How to Cite

Mutegi, R. A., Okello, J. A., & Kimathi, M. (2021). Analysis of Effect of Inclined Magnetic Field on MHD Boundary Layer Flow over a Porous Exponentially Stretching Sheet Subject to Thermal Radiation. Asian Research Journal of Mathematics, 17(9), 20-33. https://doi.org/10.9734/arjom/2021/v17i930328
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