Heat transfer analysis in the flow of Walters’B fluid with a convective boundary condition

doi:10.1088/1674-1056/23/8/084701

›› 2014, Vol. 23 ›› Issue (8): 84701-084701.doi: 10.1088/1674-1056/23/8/084701

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Heat transfer analysis in the flow of Walters’B fluid with a convective boundary condition

T. Hayat^{a b}, Sadia Asad^a, M. Mustafa^c, Hamed H. Alsulami^b

a Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan;
b Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
c School of Natural Sciences, National University of Science and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan

收稿日期:2013-10-10 修回日期:2013-12-16 出版日期:2014-08-15 发布日期:2014-08-15
基金资助:
Projects supported (for Alsulami) by Deanship of 13 Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia.

Heat transfer analysis in the flow of Walters’B fluid with a convective boundary condition

T. Hayat^{a b}, Sadia Asad^a, M. Mustafa^c, Hamed H. Alsulami^b

a Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan;
b Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
c School of Natural Sciences, National University of Science and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan

Received:2013-10-10 Revised:2013-12-16 Online:2014-08-15 Published:2014-08-15
Contact: Sadia Asad E-mail:asadsadia@ymail.com
Supported by:
Projects supported (for Alsulami) by Deanship of 13 Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia.

摘要/Abstract

摘要： Radiative heat transfer in the steady two-dimensional flow of Walters' B fluid with a non-uniform heat source/sink is investigated. An incompressible fluid is bounded by a stretching porous surface. The convective boundary condition is used for the thermal boundary layer problem. The relevant equations are first simplified under usual boundary layer assumptions and then transformed into a similar form by suitable transformations. Explicit series solutions of velocity and temperature are derived by the homotopy analysis method (HAM). The dimensionless velocity and temperature gradients at the wall are calculated and discussed.

关键词: Walters’, B fluid, heat source/sink, convective boundary condition, analytic solution

Abstract: Radiative heat transfer in the steady two-dimensional flow of Walters' B fluid with a non-uniform heat source/sink is investigated. An incompressible fluid is bounded by a stretching porous surface. The convective boundary condition is used for the thermal boundary layer problem. The relevant equations are first simplified under usual boundary layer assumptions and then transformed into a similar form by suitable transformations. Explicit series solutions of velocity and temperature are derived by the homotopy analysis method (HAM). The dimensionless velocity and temperature gradients at the wall are calculated and discussed.

Key words: Walters’B fluid, heat source/sink, convective boundary condition, analytic solution

中图分类号: (Laminar boundary layers)

47.15.Cb

47.50.-d (Non-Newtonian fluid flows)

T. Hayat, Sadia Asad, M. Mustafa, Hamed H. Alsulami. Heat transfer analysis in the flow of Walters’B fluid with a convective boundary condition[J]. , 2014, 23(8): 84701-084701.

T. Hayat, Sadia Asad, M. Mustafa, Hamed H. Alsulami. Heat transfer analysis in the flow of Walters’B fluid with a convective boundary condition[J]. Chin. Phys. B, 2014, 23(8): 84701-084701.

参考文献 39

[1]	Beard W D and Walters K 1964 Proc. Camb. Philos. Soc. 60 667
[2]	Soundalgekar M V 1978 Czechoslovak J. Phys. B 28 1217
[3]	Samria K N, Reddy S U M and Prasad R 1990 Astrophys. Space Sci. 172 231
[4]	Rajagopal K R, Na T Y and Gupta A S 1984 Rheo. Acta 23 213
[5]	Labropulu F, Hussain I and Chinichian M 2004 Int. J. Math. Sci. 2004 3249
[6]	Khan K S and Sanjayanand E 2005 Int. J. Heat Mass Transfer 48 1534
[7]	Cortell R 2007 Chem. Eng. Process. 46 982
[8]	Abel S M, Sanjayanand E and Nandeppanavar M M 2008 Commun. Nonlinear Sci. Numer. Simul. 13 1808
[9]	Hayat T, Sajid M and Pop I 2008 Nonlinear Analysis: RWA 9 1811
[10]	Hayat T, Mustafa M and Sajid M 2011 Numer. Meth. Part. Diff. Eq. 27 915
[11]	Fakhar K, Xu Z L and Cheng Y 2007 Chin. Phys. Lett. 24 1129
[12]	Hayat T, Mustafa S and Obaidat M 2011 Chin. Phys. Lett. 28 074702
[13]	Ali N, Sajid M, Javad T and Abbas Z 2011 Chin. Phys. Lett. 28 014704
[14]	Hayat T, Abbasi F M and Hendi A A 2011 Chin. Phys. Lett. 28 044701
[15]	Hayat T, Saleem N and Hendi A A 2011 Chin. Phys. Lett. 28 034702
[16]	Yuan M J, Yu B M, Zhang W and Yuan J 2011 Acta Phys. Sin. 60 024703 (in Chinese)
[17]	Sajid M, Mahmood K and Abbas Z 2012 Chin. Phys. Lett. 29 024702
[18]	Bhattacharyya K, Hayat T and Alsaedi A 2013 Chin. Phys. B 22 024702
[19]	Aziz A 2009 Commun. Nonlinear Sci. Numer. Simul. 14 1064
[20]	Magyari E 2011 Commun. Nonlinear Sci. Numer. Simul. 16 599
[21]	Hayat T, Shehzad S A, Alsaedi A and Alhothuali S M 2012 Chin. Phys. Lett. 29 114704
[22]	Ishak A 2010 Appl. Math. Comput. 217 837
[23]	Yao S, Fang T and Zhong Y 2011 Commun. Nonlinear Sci. Numer. Simul. 16 752
[24]	Hayat T, Asad S, Qasim M and Hendi A A 2012 Int. J. Numer. Meth. Fluids 69 1350
[25]	Hayat T, Shehzad A S, Qasim M and Obaidat S 2011 Therm. Sci. 15 253
[26]	Mustafa M, Hayat T and Alsaedi A 2012 Curr. Nanosci. 8 328
[27]	Wang J F and Cheng Y M 2012 Chin. Phys. B 21 120206
[28]	Chen L, Ma H P and Cheng Y M 2013 Chin. Phys. B 22 050202
[29]	Zhang Z, Wang J F, Cheng Y M and Liew K M 2013 Sci. China: Phys. Mech. Astron. 56 1568
[30]	Liao J S 2009 Commun. Nonlinear Sci. Numer. Simul. 14 983
[31]	Nadeem S and Faraz N 2010 Chin. Phys. Lett. 27 034704
[32]	Abbasbandy S 2008 Z. Angew. Math. Phys. 59 51
[33]	Rashidi M M and Pour M A S 2010 Nonlinear Analysis: Modelling and Control 15 83
[34]	Rashidi M M, Hayat T, Erfani Pour M E S A and Hendi A A 2011 Commun. Nonlinear Sci. Numer. Simul. 16 4303
[35]	Hayat T and Qasim M 2010 Commun. Nonlinear Sci. Numer. Simul. 15 2375
[36]	Hayat T, Mustafa M and Obaidat S 2011 Chin. Phys. Lett. 28 074702
[37]	Hayat T, Mustafa M and Asghar S 2010 Nonlinear Analysis: RWA 11 3186
[38]	Hayat T, Naz R and Sajid M 2010 Commun. Nonlinear Sci. Numer. Simul. 15 581
[39]	Akbar S N and Nadeem S 2013 Chin. Phys. Lett. 27 034704

Heat transfer analysis in the flow of Walters’B fluid with a convective boundary condition

Heat transfer analysis in the flow of Walters’B fluid with a convective boundary condition

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 39

相关文章 8

Metrics

本文评价

推荐阅读 0

[1]	Ping Liu(刘萍), Bing Huang(黄兵), Bo Ren(任博), and Jian-Rong Yang(杨建荣). Consistent Riccati expansion solvability, symmetries, and analytic solutions of a forced variable-coefficient extended Korteveg-de Vries equation in fluid dynamics of internal solitary waves[J]. 中国物理B, 2021, 30(8): 80203-080203.
[2]	F M Abbasi, M Mustafa, S A Shehzad, M S Alhuthali, T Hayat. Analytical study of Cattaneo-Christov heat flux model for a boundary layer flow of Oldroyd-B fluid[J]. 中国物理B, 2016, 25(1): 14701-014701.
[3]	张秀荣, 李卫东. Nonlinear tunneling through a strong rectangular barrier[J]. 中国物理B, 2015, 24(7): 70311-070311.
[4]	T. Hayat, M. Imtiaz, A. Alsaedi, R. Mansoor. MHD flow of nanofluids over an exponentially stretching sheet in a porous medium with convective boundary conditions[J]. 中国物理B, 2014, 23(5): 54701-054701.
[5]	Krishnendu Bhattacharyya, Tasawar Hayat, Ahmed Alsaedi . Analytic solution for magnetohydrodynamic boundary layer flow of Casson fluid over a stretching/shrinking sheet with wall mass transfer[J]. Chin. Phys. B, 2013, 22(2): 24702-024702.
[6]	赵国忠, 蔚喜军, 徐云, 朱江, 吴迪. Approximate analytic solutions for a generalized Hirota–Satsuma coupled KdV equation and a coupled mKdV equation[J]. 中国物理B, 2010, 19(8): 80204-080204.
[7]	赵国忠, 蔚喜军, 徐云, 朱江. Variational iteration method for solving compressible Euler equations[J]. 中国物理B, 2010, 19(7): 70203-070203.
[8]	刘金存, 侯国林. New approximate solution for time-fractional coupled KdV equations by generalised differential transform method[J]. 中国物理B, 2010, 19(11): 110203-110305.