Geometry of Variably Inclined Inviscid MHD Flows

  • Anirban RoyEmail author
  • R. Hari Baskar
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


A steady plane variably inclined magnetohydrodynamic flow of an inviscid incompressible fluid of infinite electrical conductivity studied. Introducing the vorticity, magnetic flux density, and energy functions along with the variable angle between magnetic field and velocity vector, governing equations are reformulated. The resulting equations are solved to analyze the geometry of the fluid flow. Considering streamlines to be parallel, stream function approach is applied to obtain the pattern for magnetic lines and the complete solution to the flow variables. Next considering parallel magnetic lines, magnetic flux function approach is applied to obtain streamlines and the complete solution of the flow. A graphical analysis of pressure variation is made in all the cases.


MHD Incompressible Vorticity Magnetic flux density Streamlines Magnetic lines 


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© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Christ UniversityBengaluruIndia

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