Exact solutions for the flow of Casson fluid over a stretching surface with transpiration and heat transfer effects

doi:10.1088/1674-1056/22/11/114701

Abstract The effects of transpiration on forced convection boundary layer non-Newtonian fluid flow and heat transfer toward a linearly stretching surface are reported. The flow is caused solely by the stretching of the sheet in its own plane with a velocity varying linearly with the distance from a fixed point. The constitutive relationship for the Casson fluid is used. The governing partial differential equations corresponding to the momentum and energy equations are converted into non-linear ordinary differential equations by using similarity transformations. Exact solutions of the resulting ordinary differential equations are obtained. The effect of increasing Casson parameter, i.e., with decreasing yield stress (the fluid behaves as a Newtonian fluid as the Casson parameter becomes large), is to suppress the velocity field. However, the temperature is enhanced as the Casson parameter increases. It is observed that the effect of transpiration is to decrease the fluid velocity as well as the temperature. The skin-friction coefficient is found to increase as the transpiration parameter increases.

Keywords: stretching surface transpiration Casson fluid heat transfer

Received: 26 March 2013
Revised: 20 May 2013
Accepted manuscript online:

PACS:	47.15.Cb	(Laminar boundary layers)
	44.20.+b	(Boundary layer heat flow)
	47.50.-d	(Non-Newtonian fluid flows)

Fund: Project supported by UGC (New Delhi, India) through the Special Assistance Programme DSA Phase 1.

Corresponding Authors: Swati Mukhopadhyay
E-mail: swati_bumath@yahoo.co.in

Cite this article:

Swati Mukhopadhyay, Krishnendu Bhattacharyya, Tasawar Hayat Exact solutions for the flow of Casson fluid over a stretching surface with transpiration and heat transfer effects 2013 Chin. Phys. B 22 114701

[1]	Pal D 2009 Meccanica 44 145
[2]	Mahapatra T R, Dholey S and Gupta A S 2007 Int. J. Non-Linear Mechanics 42 484
[3]	Sajid M, Hayat T and Asghar S 2007 Int. J. Heat Mass Transfer 50 1723
[4]	Crane L J 1970 Zeit. Angew. Math. Mech. 21 645
[5]	Carragher P and Crane L J 1982 Zeit. Angew. Math. Mech. 62 564
[6]	Gupta P S and Gupta A S 1977 Can. J. Chem. Engng. 55 744
[7]	Abel M S, Datti P S and Mahesha N 2009 Int. J. Heat Mass Transfer 52 2902
[8]	Mukhopadhyay S 2010 Chin. Phys. Lett. 27 124401
[9]	Bhattacharyya K, Mukhopadhyay S and Layek G C 2011 Chin. Phys. Lett. 28 094702
[10]	Bhattacharyya K, Hayat T and Alsaedi A 2013 Chin. Phys. B 22 024702
[11]	Abel M S and Mahesha N 2008 Applied Mathematical Modelling 32 1965
[12]	Ellahi R, Hayat T, Mahomed F M and Zeeshan A 2010 Z. Angew. Math. Phys. 61 877
[13]	Hsiao K L 2007 Appl. Thermal Engng. 27 1895
[14]	Andersson H I and Dandapat B S 1992 Appl. Anal. Continuous Media 1 339
[15]	Hassanien I A 1996 Appl. Model. 20 779
[16]	Sadeghy K and Sharifi M 2004 Int. J. Non-linear Mech. 39 1265
[17]	Serdar B and Salih Dokuz M 2006 Int. J. Engng Sci. 44 49
[18]	Haroun M H 2007 Commun. Nonlinear Sci. Numer. Simulat. 12 1464
[19]	Hayat T, Iqbal Z and Mustafa M 2012 J. Mech. 28 209
[20]	Sajid M, Ahmad I, Hayat T and Ayub M 2009 Commun. Nonlinear Sci. Numer. Simulat. 14 96
[21]	Heyhat M M and Khabazi N 2010 Proc. IMechE Vol. 225 Part C: J. Mechanical Engineering Science
[22]	Hayat T, Awais M and Sajid M 2011 Int. J. Mod. Phys. B 25 2863
[23]	Mukhopadhyay S 2012 Chin. Phys. Lett. 29 054703
[24]	Fung Y C 1984 Biodynamics Circulation (New York: Springer-Verlag)
[25]	Dash R K, Mehta K N and Jayaraman G 1996 Int. J. Engng Sci. 34 1145
[26]	Eldabe N T M and Salwa M G E 1995 J. Phys. Soc. Jpn. 64 41
[27]	Boyd J, Buick J M and Green S 2007 Phys. Fluids 19 93
[28]	Mukhopadhyay S 2009 Int. J. Heat Mass Transfer 52 3261
[29]	Mukhopadhyay S 2011 Nuc. Eng. Des. 241 2660
[30]	Mukhopadhyay S and Vajravelu K 2012 ASME J. Appl. Mech. 79 044508
[31]	Mukhopadhyay S and Layek G C 2008 Int. J. Heat Mass Trans. 51 2167
[32]	Mukhopadhyay S and Gorla R S R 2012 Heat Mass Transfer 48 1773
[33]	Ishak A, Nazar R and Pop I 2009 Chem. Engng. J. 148 63
[34]	Bhattacharyya K, Mukhopadhyay S, Layek G C and I Pop 2012 Int. J. Heat Mass Transfer 55 2945

[1]	Effect of bio-tissue deformation behavior due to intratumoral injection on magnetic hyperthermia Yundong Tang(汤云东), Jian Zou(邹建), Rodolfo C.C. Flesch, and Tao Jin(金涛). Chin. Phys. B, 2023, 32(3): 034304.
[2]	Heat transport properties within living biological tissues with temperature-dependent thermal properties Ying-Ze Wang(王颖泽), Xiao-Yu Lu(陆晓宇), and Dong Liu(刘栋). Chin. Phys. B, 2023, 32(1): 014401.
[3]	Influences of Marangoni convection and variable magnetic field on hybrid nanofluid thin-film flow past a stretching surface Noor Wali Khan, Arshad Khan, Muhammad Usman, Taza Gul, Abir Mouldi, and Ameni Brahmia. Chin. Phys. B, 2022, 31(6): 064403.
[4]	Accurate prediction of the critical heat flux for pool boiling on the heater substrate Fengxun Hai(海丰勋), Wei Zhu(祝薇), Xiaoyi Yang(杨晓奕), and Yuan Deng(邓元). Chin. Phys. B, 2022, 31(6): 064401.
[5]	Erratum to “Boundary layer flow and heat transfer of a Casson fluid past a symmetric porous wedge with surface heat flux” Swati Mukhopadhyay and Iswar Chandra Mandal. Chin. Phys. B, 2022, 31(5): 059902.
[6]	Numerical simulation of anode heat transfer of nitrogen arc utilizing two-temperature chemical non-equilibrium model Chong Niu(牛冲), Surong Sun(孙素蓉), Jianghong Sun(孙江宏), and Haixing Wang(王海兴). Chin. Phys. B, 2021, 30(9): 095206.
[7]	Continuous droplet rebound on heated surfaces and its effects on heat transfer property: A lattice Boltzmann study Qing-Yu Zhang(张庆宇), Qi-Peng Dong(董其鹏), Shan-Lin Wang(王山林), Zhi-Jun Wang(王志军), and Jian Zhou(周健). Chin. Phys. B, 2021, 30(4): 044703.
[8]	Model predictive inverse method for recovering boundary conditions of two-dimensional ablation Guang-Jun Wang(王广军), Ze-Hong Chen(陈泽弘), Guang-Xiang Zhang(章广祥), and Hong Chen(陈红). Chin. Phys. B, 2021, 30(3): 030203.
[9]	Anti-parity-time symmetric phase transition in diffusive systems Pei-Chao Cao(曹培超) and Xue-Feng Zhu(祝雪丰). Chin. Phys. B, 2021, 30(3): 030505.
[10]	Effects of heat transfer in a growing particle layer on microstructural evolution during solidification of colloidal suspensions Jia-Xue You(游家学), Yun-Han Zhang(张运涵), Zhi-Jun Wang(王志军), Jin-Cheng Wang(王锦程), and Sheng-Zhong Liu(刘生忠). Chin. Phys. B, 2021, 30(2): 028103.
[11]	Lattice Boltzmann simulation on thermal performance of composite phase change material based on Voronoi models Meng-Yue Guo(郭孟月), Qun Han(韩群), Xiang-Dong Liu(刘向东), and Bo Zhou(周博). Chin. Phys. B, 2021, 30(10): 104401.
[12]	An efficient inverse approach for reconstructing time- and space-dependent heat flux of participating medium Shuang-Cheng Sun(孙双成), Guang-Jun Wang(王广军), and Hong Chen(陈红)$. Chin. Phys. B, 2020, 29(11): 110202.
[13]	Uniformity principle of temperature difference field in heat transfer optimization Xue-Tao Cheng(程雪涛), Xin-Gang Liang(梁新刚). Chin. Phys. B, 2019, 28(6): 064402.
[14]	Heat transfer of liquid metal alloy on copper plate deposited with film of different surface free energy Huilong Yan(闫慧龙), Jinliang Yan(闫金良), Gang Zhao(赵刚). Chin. Phys. B, 2019, 28(11): 114401.
[15]	Contribution of terahertz waves to near-field radiative heat transfer between graphene-based hyperbolic metamaterials Qi-Mei Zhao(赵启梅), Tong-Biao Wang(王同标), De-Jian Zhang(张德建), Wen-Xing Liu(刘文兴), Tian-Bao Yu(于天宝), Qing-Hua Liao(廖清华), Nian-Hua Liu(刘念华). Chin. Phys. B, 2018, 27(9): 094401.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Exact solutions for the flow of Casson fluid over a stretching surface with transpiration and heat transfer effects

Cite this article:

Online attention