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Brinkman‐Forchheimer slip flow subject to exponential space and thermal‐dependent heat source in a microchannel utilizing SWCNT and MWCNT nanoliquids
Author(s) -
Shehzad Sabir Ali,
Mahanthesh Basavarajappa,
Gireesha Bijjanal Jayanna,
Shashikumar Nagavangala Shankarappa,
Madhu Macha
Publication year - 2019
Publication title -
heat transfer—asian research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.41
H-Index - 30
eISSN - 1523-1496
pISSN - 1099-2871
DOI - 10.1002/htj.21452
Subject(s) - microchannel , brinkman number , mechanics , magnetohydrodynamic drive , materials science , nusselt number , carbon nanotube , joule heating , thermal , dimensionless quantity , thermodynamics , composite material , magnetohydrodynamics , physics , reynolds number , magnetic field , quantum mechanics , turbulence
This communication examines the impact of carbon nanotubes (single‐wall carbon nanotubes [SWCNT] and multi‐wall carbon nanotubes [MWCNT]) on magnetohydrodynamic Brinkman and Forchheimer flow in a planar microchannel with multiple slips. Flow through a porous medium is modeled via Brinkman and Forchheimer theory. The impacts of thermal‐dependent heat source (THS) and exponential space‐dependent heat source (ESHS) are deployed. Aspects of Joule and viscous dissipations are also retained. The dimensionless equations are solved using the Runge‐Kutta‐Fehlberg joint with shooting methodology. The significance of various nondimensional parameters on the flow distributions as well as skin‐friction and Nusselt number is illustrated and analyzed. Closed form solution of momentum quantity is developed for a particular case. Obtained numerical results are in perfect agreement with analytical results. Further, the results of SWCNT and MWCNT are compared.

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