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

中国物理B ›› 2013, Vol. 22 ›› Issue (11): 114701-114701.doi: 10.1088/1674-1056/22/11/114701

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

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

Swati Mukhopadhyay^a, Krishnendu Bhattacharyya^a, Tasawar Hayat^{b c}

a Department of Mathematics, The University of Burdwan, Burdwan-713104, W. B., India;
b Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, Pakistan;
c Department of Mathematics, Faculty of Science, King Abdulziz University, Jeddah 21589, Saudi Arabia

收稿日期:2013-03-26 修回日期:2013-05-20 出版日期:2013-09-28 发布日期:2013-09-28
基金资助:
Project supported by UGC (New Delhi, India) through the Special Assistance Programme DSA Phase 1.

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

Swati Mukhopadhyay^a, Krishnendu Bhattacharyya^a, Tasawar Hayat^{b c}

a Department of Mathematics, The University of Burdwan, Burdwan-713104, W. B., India;
b Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, Pakistan;
c Department of Mathematics, Faculty of Science, King Abdulziz University, Jeddah 21589, Saudi Arabia

Received:2013-03-26 Revised:2013-05-20 Online:2013-09-28 Published:2013-09-28
Contact: Swati Mukhopadhyay E-mail:swati_bumath@yahoo.co.in
Supported by:
Project supported by UGC (New Delhi, India) through the Special Assistance Programme DSA Phase 1.

摘要/Abstract

摘要： 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.

关键词: stretching surface, transpiration, Casson fluid, heat transfer

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.

Key words: stretching surface, transpiration, Casson fluid, heat transfer

中图分类号: (Laminar boundary layers)

47.15.Cb

44.20.+b (Boundary layer heat flow) 47.50.-d (Non-Newtonian fluid flows)

Swati Mukhopadhyay, Krishnendu Bhattacharyya, Tasawar Hayat. Exact solutions for the flow of Casson fluid over a stretching surface with transpiration and heat transfer effects[J]. 中国物理B, 2013, 22(11): 114701-114701.

参考文献 34

[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

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

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

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 34

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Yundong Tang(汤云东), Jian Zou(邹建), Rodolfo C.C. Flesch, and Tao Jin(金涛). Effect of bio-tissue deformation behavior due to intratumoral injection on magnetic hyperthermia[J]. 中国物理B, 2023, 32(3): 34304-034304.
[2]	Ying-Ze Wang(王颖泽), Xiao-Yu Lu(陆晓宇), and Dong Liu(刘栋). Heat transport properties within living biological tissues with temperature-dependent thermal properties[J]. 中国物理B, 2023, 32(1): 14401-014401.
[3]	Fengxun Hai(海丰勋), Wei Zhu(祝薇), Xiaoyi Yang(杨晓奕), and Yuan Deng(邓元). Accurate prediction of the critical heat flux for pool boiling on the heater substrate[J]. 中国物理B, 2022, 31(6): 64401-064401.
[4]	Noor Wali Khan, Arshad Khan, Muhammad Usman, Taza Gul, Abir Mouldi, and Ameni Brahmia. Influences of Marangoni convection and variable magnetic field on hybrid nanofluid thin-film flow past a stretching surface[J]. 中国物理B, 2022, 31(6): 64403-064403.
[5]	Swati Mukhopadhyay and Iswar Chandra Mandal. Erratum to “Boundary layer flow and heat transfer of a Casson fluid past a symmetric porous wedge with surface heat flux”[J]. 中国物理B, 2022, 31(5): 59902-059902.
[6]	Chong Niu(牛冲), Surong Sun(孙素蓉), Jianghong Sun(孙江宏), and Haixing Wang(王海兴). Numerical simulation of anode heat transfer of nitrogen arc utilizing two-temperature chemical non-equilibrium model[J]. 中国物理B, 2021, 30(9): 95206-095206.
[7]	Meng-Yue Guo(郭孟月), Qun Han(韩群), Xiang-Dong Liu(刘向东), and Bo Zhou(周博). Lattice Boltzmann simulation on thermal performance of composite phase change material based on Voronoi models[J]. 中国物理B, 2021, 30(10): 104401-104401.
[8]	程雪涛, 梁新刚. Uniformity principle of temperature difference field in heat transfer optimization[J]. 中国物理B, 2019, 28(6): 64402-064402.
[9]	闫慧龙, 闫金良, 赵刚. Heat transfer of liquid metal alloy on copper plate deposited with film of different surface free energy[J]. 中国物理B, 2019, 28(11): 114401-114401.
[10]	赵启梅, 王同标, 张德建, 刘文兴, 于天宝, 廖清华, 刘念华. Contribution of terahertz waves to near-field radiative heat transfer between graphene-based hyperbolic metamaterials[J]. 中国物理B, 2018, 27(9): 94401-094401.
[11]	党思娜, 薛红军, 张晓燕, 瞿珏, 钟诚文, 陈思宇. Three-dimensional human thermoregulation model based on pulsatile blood flow and heating mechanism[J]. 中国物理B, 2018, 27(11): 114402-114402.
[12]	Norazlina M S,Dheepan Chakravarthii M K,Shanmugan S,Mutharasu D,Shahrom Mahmud. Heat transfer enhancement in MOSFET mounted on different FR4 substrates by thermal transient measurement[J]. 中国物理B, 2017, 26(9): 98901-098901.
[13]	程雪涛, 梁新刚. Role of entropy generation minimization in thermal optimization[J]. 中国物理B, 2017, 26(12): 120505-120505.
[14]	Tanzila Hayat, S Nadeem. Induced magnetic field stagnation point flow of nanofluid past convectively heated stretching sheet with Buoyancy effects[J]. 中国物理B, 2016, 25(11): 114701-114701.
[15]	王卫杰, 赵振国, 赵艺, 周海京, 符策基. Design and optimization of a SiC thermal emitter/absorber composed of periodic microstructures based on a non-linear method[J]. 中国物理B, 2015, 24(9): 94213-094213.