Exact solution for heat transport of Newtonian fluid with quadratic order thermal slip in a porous medium

N. Vishnu GANESH; Qasem AL-MDALLAL; R. KALAIVANANC

doi:https://doi.org/10.31197/atnaa.749630

Makale detayları

Exact solution for heat transport of Newtonian fluid with quadratic order thermal slip in a porous medium

Yazarlar:

N. Vishnu GANESH | Qasem AL-MDALLAL | R. KALAIVANANC

Yayıncı:

Erdal KARAPINAR

Ana Başlıklar:

Matematik

Dergi:

Advances in the Theory of Nonlinear Analysis and its Application 2021 Vol.5 Issue 1, pp.39-48

Belge Tipi:

Makale

Yayın Tarihi:

3/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000447627

Sıklık:

Üç Aylık

eISSN:

2587-2648

DOI:

https://doi.org/10.31197/atnaa.749630

Özet:

 

In this communication, an analytical solution for the thermal transfer of Newtonian fluid flow with quadratic order thermal and velocity slips is presented for the first time. The flow of a Newtonian fluid over a stretching sheet which is embedded in a porous medium is considered. Karniadakis and Beskok’s quadratic order slip boundary conditions are taking into account.  A closed form of analytical solution of momentum equation is used to derive the analytical solution of heat transfer equation in terms of confluent hyper-geometric function with quadratic order thermal slip boundary condition. Accuracy of present results is assured with the numerical solution obtained by Iterative Power Series method with shooting technique. The impacts of porous medium parameter, tangential momentum accommodation coefficient, energy accommodation coefficient on velocity and temperature profiles, skin friction coefficient and reduced Nusselt number are discussed. The Nusselt number increases with the higher estimations of tangential momentum and energy accommodation coefficients.

Makale detayları

Exact solution for heat transport of Newtonian fluid with quadratic order thermal slip in a porous medium

Yazarlar: N. Vishnu GANESH | Qasem AL-MDALLAL | R. KALAIVANANC

Yayıncı: Erdal KARAPINAR

Ana Başlıklar: Matematik

Dergi: Advances in the Theory of Nonlinear Analysis and its Application 2021 Vol.5 Issue 1, pp.39-48

Belge Tipi: Makale

Yayın Tarihi: 3/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000447627

Sıklık: Üç Aylık

eISSN: 2587-2648

DOI: https://doi.org/10.31197/atnaa.749630

Sayı

Yazarlar:

N. Vishnu GANESH | Qasem AL-MDALLAL | R. KALAIVANANC

Yayıncı:

Erdal KARAPINAR

Ana Başlıklar:

Matematik

Dergi:

Advances in the Theory of Nonlinear Analysis and its Application 2021 Vol.5 Issue 1, pp.39-48

Belge Tipi:

Makale

Yayın Tarihi:

3/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000447627

Sıklık:

Üç Aylık

eISSN:

2587-2648

DOI:

https://doi.org/10.31197/atnaa.749630