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Gaseous slip flow affected by inclined low magnetic field using second‐order boundary conditions
Author(s) -
Al Khasawneh Khaleel,
AlWardat Amani A.,
Khashan Saud A.
Publication year - 2020
Publication title -
heat transfer
Language(s) - English
Resource type - Journals
eISSN - 2688-4542
pISSN - 2688-4534
DOI - 10.1002/htj.21645
Subject(s) - mechanics , reynolds number , laminar flow , magnetic reynolds number , slip (aerodynamics) , mach number , magnetic field , temperature jump , compressibility , boundary value problem , physics , classical mechanics , mathematics , mathematical analysis , thermodynamics , quantum mechanics , turbulence
In this study, asymptotic solutions of a near continuum gaseous slip flow in two‐dimensional rectangular microchannels under the effect of electromagnetic force are presented. An inclined magnetic field was assumed in this study. Nondimensional equations were obtained that relate the pressure ratio, Mach number, magnetic Reynolds number, magnetic force number, and Reynolds number. The asymptotic solutions for the compressible, laminar, and steady flow were obtained by applying second‐order slip velocity and temperature jump wall boundary conditions. It was found that the electric and magnetic field with inclined angle had significant effects on the flow properties. The solutions obtained here using the second‐order boundary conditions result in tangible improvement over those obtained using first‐order boundary conditions. We compared our solutions against the numerical solutions that were provided in the literature and showed that our solutions were in good agreement with the numerical solution.