Heat transfer for boundary layers with cross flow

doi:10.1088/1674-1056/23/2/024701

中国物理B ›› 2014, Vol. 23 ›› Issue (2): 24701-024701.doi: 10.1088/1674-1056/23/2/024701

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

Heat transfer for boundary layers with cross flow

Krishnendu Bhattacharyya^a, Ioan Pop^b

a Department of Mathematics, The University of Burdwan, Burdwan-713104, West Bengal, India;
b Faculty of Mathematics, Babeş-Bolyai University, R-400082 Cluj-Napoca, Romania

收稿日期:2013-03-21 修回日期:2013-05-03 出版日期:2013-12-12 发布日期:2013-12-12

Heat transfer for boundary layers with cross flow

Krishnendu Bhattacharyya^a, Ioan Pop^b

a Department of Mathematics, The University of Burdwan, Burdwan-713104, West Bengal, India;
b Faculty of Mathematics, Babeş-Bolyai University, R-400082 Cluj-Napoca, Romania

Received:2013-03-21 Revised:2013-05-03 Online:2013-12-12 Published:2013-12-12
Contact: Krishnendu Bhattacharyya, Ioan Pop E-mail:krish.math@yahoo.com;popm.ioan@yahoo.co.uk
About author:47.15.Cb; 44.20.+b; 44.27.+g

摘要/Abstract

摘要： An analysis is presented to study the dual nature of solutions for the forced convective boundary layer flow and heat transfer in a cross flow with viscous dissipation terms in the energy equation. The governing equations are transformed into a set of three self-similar ordinary differential equations by similarity transformations. These equations are solved numerically using the very efficient shooting method. This study reveals that the dual solutions of the transformed similarity equations for velocity and temperature distributions exist for certain values of the moving parameter, Prandtl number, and Eckert numbers. The reverse heat flux is observed for larger Eckert numbers; that is, heat absorption at the wall occurs.

关键词: heat transfer, boundary layer, cross flow, viscous dissipation, dual solutions

Abstract: An analysis is presented to study the dual nature of solutions for the forced convective boundary layer flow and heat transfer in a cross flow with viscous dissipation terms in the energy equation. The governing equations are transformed into a set of three self-similar ordinary differential equations by similarity transformations. These equations are solved numerically using the very efficient shooting method. This study reveals that the dual solutions of the transformed similarity equations for velocity and temperature distributions exist for certain values of the moving parameter, Prandtl number, and Eckert numbers. The reverse heat flux is observed for larger Eckert numbers; that is, heat absorption at the wall occurs.

Key words: heat transfer, boundary layer, cross flow, viscous dissipation, dual solutions

中图分类号: (Laminar boundary layers)

47.15.Cb

44.20.+b (Boundary layer heat flow) 44.27.+g (Forced convection)

Krishnendu Bhattacharyya, Ioan Pop. Heat transfer for boundary layers with cross flow[J]. 中国物理B, 2014, 23(2): 24701-024701.

Krishnendu Bhattacharyya, Ioan Pop. Heat transfer for boundary layers with cross flow[J]. Chin. Phys. B, 2014, 23(2): 24701-024701.

参考文献 47

[1]	Bejan A 2004 Convective Heat Transfer, 3rd edn. (New York: Wiley)
[2]	Schlichting H and Gersten K 2000 Boundary-Layer Theory (New York: Springer)
[3]	Pop I and Ingham D B 2001 Convective Heat Transfer: Mathematical and Computational Modelling of Viscous Fluids and Porous Media (Oxford: Pergamon)
[4]	Kubitschek J P and Weidman P D 2003 Int. J. Heat Mass Transfer 46 3697
[5]	Aziz A 2009 Commun. Nonlinear Sci. Numer. Simul. 14 1064
[6]	Magyari E 2011 Commun. Nonlinear Sci. Numer. Simul. 16 599
[7]	Sowerby L 1954 Rep. Aero. Res. Coun. Lond., No. 16832
[8]	Loos H G 1955 J. Acro. Sci. 22 35
[9]	Klemp J B and Acrivos A A 1972 J. Fluid Mech. 53 177
[10]	Klemp J B and Acrivos A A 1976 J. Fluid Mech. 76 363
[11]	Hussaini M Y, Lakin W D and Nachman A 1987 SIAM J. Appl. Math. 47 699
[12]	Weidman P D 1997 J. Appl. Math. Phys. (ZAMP) 48 341
[13]	Weidman P D, Kubitschek D G and Davis A M J 2006 Int. J. Eng. Sci. 44 730
[14]	Fang T 2003 Acta Mech. 163 161
[15]	Fang T 2003 Acta Mech. 163 183
[16]	Pop I, Ishak A and Nazar R 2007 Chin. Phys. Lett. 24 2274
[17]	Pop I, Nazar R and Ishak A 2007 Chin. Phys. Lett. 24 2895
[18]	Fang T and Lee C F 2009 Acta Mech. 204 235
[19]	Ishak A 2009 Chin. Phys. Lett. 26 034701
[20]	Zhang J, Fang T and Yao S S 2009 Chin. Phys. Lett. 26 014703
[21]	Fang T, Zhang J and Yao S S 2010 Chin. Phys. Lett. 27 124702
[22]	Ishak A, Lok Y Y and Pop I 2010 Chem. Eng. Commun. 197 1417
[23]	Bhattacharyya K and Layek G C 2011 Int. J. Heat Mass Transfer 54 302
[24]	Bhattacharyya K, Mukhopadhyay S and Layek G C 2011 Int. J. Heat Mass Transfer 54 308
[25]	Lok Y Y, Ishak A and Pop I 2011 Int. J. Numer. Meth. Heat Fluid Flow 21 61
[26]	Yacob N A, Ishak A and Pop I 2011 Comput. Fluids 47 16
[27]	Mahapatra T R, Nandy S K and Gupta A S 2011 ASME J. Appl. Mech. 78 021015
[28]	Bhattacharyya K 2011 Chin. Phys. Lett. 28 084702
[29]	Bhattacharyya K 2011 Int. Commun. Heat Mass Transfer 38 917
[30]	Rosali H, Ishak A and Pop I 2011 Int. Commun. Heat Mass Transfer 38 1029
[31]	Bhattacharyya K and Vajravelu K 2012 Commun. Nonlinear Sci. Numer. Simul. 17 2728
[32]	Mukhopadhyay S, Bhattacharyya K and Layek G C 2011 Int. J. Heat Mass Transfer 54 2751
[33]	Bhattacharyya K 2012 Int. J. Heat Mass Transfer 55 3482
[34]	Bhattacharyya K, Layek G C and Gorla R S R 2012 Int. J. Fluid Mech. Res. 39 438
[35]	Bhattacharyya K 2013 Ain Shams Eng. J. 4 259
[36]	Bhattacharyya K 2013 Chin. Phys. B 22 074705
[37]	Bhattacharyya K, Hayat T and Alsaedi A 2013 Chin. Phys. B 22 024702
[38]	Bhattacharyya K, Mukhopadhyay S and Layek G C 2011 Chin. Phys. Lett. 28 024701
[39]	Bhattacharyya K 2011 Chin. Phys. Lett. 28 074701
[40]	Bhattacharyya K and Layek G C 2011 Chem. Eng. Commun. 198 1354
[41]	Bhattacharyya K and Layek G C 2011 Chin. Phys. Lett. 28 084705
[42]	Bhattacharyya K, Mukhopadhyay S and Layek G C 2011 Chin. Phys. Lett. 28 094702
[43]	Bhattacharyya K and Pop I 2011 Magnetohydrodynamics 47 337
[44]	Bhattacharyya K, Mukhopadhyay S, Layek G C and Pop I 2012 Int. J. Heat Mass Transfer 55 2945
[45]	Weidman P D, Davis A M J and Kubitschek D G 2008 J. Appl. Math. Phys. (ZAMP) 59 313
[46]	Paullet J and Weidman P 2007 Int. J. Nonlinear Mech. 42 1084
[47]	Postelnicu A and Pop I 2011 Appl. Math. Comput. 217 4359

Heat transfer for boundary layers with cross flow

Heat transfer for boundary layers with cross flow

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 47

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]	Jin-Hao Zhang(张津浩), Biao-Hui Li(李彪辉), Yu-Fei Wang(王宇飞), and Nan Jiang(姜楠). Effects of single synthetic jet on turbulent boundary layer[J]. 中国物理B, 2022, 31(7): 74702-074702.
[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]	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.
[6]	Astick Banerjee, Krishnendu Bhattacharyya, Sanat Kumar Mahato, and Ali J. Chamkha. Influence of various shapes of nanoparticles on unsteady stagnation-point flow of Cu-H₂O nanofluid on a flat surface in a porous medium: A stability analysis[J]. 中国物理B, 2022, 31(4): 44701-044701.
[7]	Biao-Hui Li(李彪辉), Kang-Jun Wang(王康俊), Yu-Fei Wang(王宇飞), and Nan Jiang(姜楠). Experimental investigation on drag reduction in a turbulent boundary layer with a submerged synthetic jet[J]. 中国物理B, 2022, 31(2): 24702-024702.
[8]	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.
[9]	Shaoxian Ma(马绍贤), Yi Duan(段毅), Zhangfeng Huang(黄章峰), and Shiyong Yao(姚世勇). Improved nonlinear parabolized stability equations approach for hypersonic boundary layers[J]. 中国物理B, 2021, 30(5): 54701-054701.
[10]	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.
[11]	刘强, 罗振兵, 邓雄, 刘志勇, 王林, 周岩. Supersonic boundary layer transition induced by self-sustaining dual jets[J]. 中国物理B, 2020, 29(1): 14704-014704.
[12]	林泽鹏, 包芸. Strong coupling between height of gaps and thickness of thermal boundary layer in partitioned convection system[J]. 中国物理B, 2019, 28(9): 94701-094701.
[13]	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.
[14]	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.
[15]	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.