Primary and Secondary Velocity Profiles for Different Hartmann Number (Ha)

S. Sreedhar

doi:https://doi.org/10.14445/22315373/IJMTT-V48P521

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 48 | Number 3 | Year 2017 | Article Id. IJMTT-V48P521 | DOI : https://doi.org/10.14445/22315373/IJMTT-V48P521

Primary and Secondary Velocity Profiles for Different Hartmann Number (Ha)

S. Sreedhar

Citation :

S. Sreedhar, "Primary and Secondary Velocity Profiles for Different Hartmann Number (Ha)," International Journal of Mathematics Trends and Technology (IJMTT), vol. 48, no. 3, pp. 155-158, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V48P521

Abstract

The advent of technology that involves the MHD power generators, MHD devices, nuclear engineering and the possibility of thermonuclear power has created a great practical need for understanding the dynamics of conducting fluids. The use of liquid metals as heat transfer agents and as a working fluid in MHD power generator has created a growing interest in the behavior of liquid metal flows and in particular the nature of interaction with magnetic field. The interaction between the conducting fluid and the magnetic field radically modifies the flow, with attendant effects on such important flow properties as pressure drop and heat transfer, the detailed nature of which is strongly dependent on the orientation of the magnetic field relative to the field. It is assumed that the fluids in the two regions are incompressible, immiscible and electrically conducting, having different viscosities, electrical conductivities. With these assumptions and considering that the magnetic Reynolds number is small the basic equations of motion, current, the no-slip boundary conditions at the walls and interface conditions between the twofluid regions have been formulated. The resulting governing linear differential equations are solved analytically, using the prescribed boundary and interface conditions to obtain the exact solutions for velocity distributions such as primary and secondary distributions in both regions. Also, their corresponding numerical results for various sets of values of the governing parameters are obtained to represent them graphically and are discussed in detail.

Keywords

Hartmann Number, MHD, Non Conducting Fluids, Two Phases, Viscous.

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