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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 3, Pages 117–132 (Mi pmtf1370)  

This article is cited in 9 scientific papers (total in 9 papers)

Finite-difference solution of unsteady natural convection flow past a nonisothermal vertical cone under the influence of a magnetic field and thermal radiation

E. Thandapania, A. R. Ragavanb, G. Palanib

a Ramanujan Institute for Advance Study in Mathematics, University of Madras, Chennai, Tamil Nadu, 600005, India
b Department of Mathematics, Dr. Ambedkar Govt. Arts College, Chennai, Tamil Nadu, 600039, India
Full-text PDF (673 kB) Citations (9)
Abstract: An analysis is performed to study the heat transfer characteristics of natural convection over a vertical cone under the combined effects of a magnetic field and thermal radiation. The cone surface is subjected to a variable surface temperature. The fluid considered is a gray absorbing/emitting, but non-scattering medium. The boundary layer equations governing the flow are reduced to non-dimensional equations using non-dimensional quantities valid in the free-convection regime. The resulting non-dimensional governing equations are solved by an implicit finite-difference method of the Crank–Nicolson type, which is rapidly convergent and unconditionally stable. Numerical results are obtained for velocity, temperature, local and average skin friction, and local and average Nusselt numbers for various values of parameters occurring in the problem and are presented in the graphical form. Excellent agreement of the results obtained with available data is demonstrated.
Keywords: vertical cone, cone apex, magnetohydrodynamics, radiation, finite differences, skin friction.
Received: 30.09.2010
Accepted: 01.04.2011
English version:
Journal of Applied Mechanics and Technical Physics, 2012, Volume 53, Issue 3, Pages 408–421
DOI: https://doi.org/10.1134/S0021894412030133
Bibliographic databases:
Document Type: Article
UDC: 536.2, 536.3, 537.63
Language: Russian
Citation: E. Thandapani, A. R. Ragavan, G. Palani, “Finite-difference solution of unsteady natural convection flow past a nonisothermal vertical cone under the influence of a magnetic field and thermal radiation”, Prikl. Mekh. Tekh. Fiz., 53:3 (2012), 117–132; J. Appl. Mech. Tech. Phys., 53:3 (2012), 408–421
Citation in format AMSBIB
\Bibitem{ThaRagPal12}
\by E.~Thandapani, A.~R.~Ragavan, G.~Palani
\paper Finite-difference solution of unsteady natural convection flow past a nonisothermal vertical cone under the influence of a magnetic field and thermal radiation
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2012
\vol 53
\issue 3
\pages 117--132
\mathnet{http://mi.mathnet.ru/pmtf1370}
\elib{https://elibrary.ru/item.asp?id=17797437}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2012
\vol 53
\issue 3
\pages 408--421
\crossref{https://doi.org/10.1134/S0021894412030133}
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  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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