ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
Prev
Next
|
|
|
Heat transfer in boundary layer stagnation-point flow towards a shrinking sheet with non-uniform heat flux |
Krishnendu Bhattacharyya |
Department of Mathematics, The University of Burdwan, Burdwan-713104, West Bengal, India |
|
|
Abstract In this paper, the effect of non-uniform heat flux on heat transfer in boundary layer stagnation-point flow over a shrinking sheet is studied. The variable boundary heat fluxes are considered of two types: direct power-law variation with the distance along the sheet and inverse power-law variation with the distance. The governing partial differential equations (PDEs) are transformed into non linear self-similar ordinary differential equations (ODEs) by similarity transformations,and then those are solved using very efficient shooting method. The direct variation and inverse variation of heat flux along the sheet have completely different effects on the temperature distribution. Moreover, the heat transfer characteristics in the presence of non-uniform heat flux for several values of physical parameters are also found to be interesting.
|
Received: 10 September 2012
Revised: 09 November 2012
Accepted manuscript online:
|
PACS:
|
47.15.Cb
|
(Laminar boundary layers)
|
|
44.27.+g
|
(Forced convection)
|
|
Fund: Project supported by the National Board for Higher Mathematics (NBHM), DAE, Mumbai, India. |
Corresponding Authors:
Krishnendu Bhattacharyya
E-mail: krish.math@yahoo.com; krishnendu.math@gmail.com
|
Cite this article:
Krishnendu Bhattacharyya Heat transfer in boundary layer stagnation-point flow towards a shrinking sheet with non-uniform heat flux 2013 Chin. Phys. B 22 074705
|
[1] |
Chiam T C 1994 J. Phys. Soc. Jpn. 63 2443
|
[2] |
Mahapatra T R and Gupta A S 2001 Acta Mech. 152 191
|
[3] |
Mahapatra T R and Gupta A S 2002 Heat Mass Transfer 38 517
|
[4] |
Nazar R, Amin N, Filip D and Pop I 2004 Int. J. Non-Linear Mech. 39 1227
|
[5] |
Ishak A, Nazar R and Pop I 2006 Meccanica 41 509
|
[6] |
Layek G C, Mukhopadhyay S and Samad Sk A 2007 Int. Commun. Heat Mass Transfer 34 347
|
[7] |
Ding Q and Zhang H Q 2009 Chin. Phys. Lett. 26 104701
|
[8] |
Nadeem S, Hussain A and Khan M 2010 Commun. Nonlinear Sci. Numer. Simul. 15 475
|
[9] |
Bhattacharyya K, Mukhopadhyay S and Layek G C 2011 Chin. Phys. Lett. 28 094702
|
[10] |
Bhattacharyya K, Mukhopadhyay S and Layek G C 2012 Chem. Eng. Commun. 199 368
|
[11] |
Crane L J 1970 Z. Angew. Math. Phys. 21 645
|
[12] |
Sajid M, Ali N, Javed T and Abbas Z 2010 Chin. Phys. Lett. 27 024703
|
[13] |
Bhattacharyya K and Layek G C 2010 Chem. Eng. Commun. 197 1527
|
[14] |
Bhattacharyya K and Layek G C 2011 Chem. Eng. Commun. 198 1354
|
[15] |
Eerdunbuhe and Temuerchaolu 2012 Chin. Phys. B 21 035201
|
[16] |
Salem A M and Fathy R 2012 Chin. Phys. B 21 054701
|
[17] |
Wang C Y 1990 Q. Appl. Math. 48 601
|
[18] |
Miklavčič M and Wang C Y 2006 Q. Appl. Math. 64 283
|
[19] |
Hayat T, Abbas Z and Sajid M 2007 ASME J. Appl. Mech. 74 1165
|
[20] |
Hayat T, Javed T and Sajid M 2008 Phys. Lett. A 372 3264
|
[21] |
Hayat T, Abbas Z and Ali N 2008 Phys. Lett. A 372 4698
|
[22] |
Hayat T, Abbas Z, Javed T and SajidM2009 Chaos, Solitons and Fractals 39 1615
|
[23] |
Hayat T, Iram S, Javed T and Asghar S 2010 Commun. Nonlinear Sci. Numer. Simul. 15 2932
|
[24] |
Fang T and Zhang J 2009 Commun. Nonlinear Sci. Numer. Simul. 14 2853
|
[25] |
Fang T, Zhang J and Yao S 2009 Chin. Phys. Lett. 26 014703
|
[26] |
Fang T and Zhang J 2010 Acta Mech. 209 325
|
[27] |
Fang T, Zhang J and Yao S 2010 Chin. Phys. Lett. 27 124702
|
[28] |
Bhattacharyya K 2011 Chem. Eng. Res. Bull. 15 12
|
[29] |
Bhattacharyya K 2011 Chin. Phys. Lett. 28 074701
|
[30] |
Bhattacharyya K and Pop I 2011 Magnetohydrodynamics 47 337
|
[31] |
Bhattacharyya K, Mukhopadhyay S, Layek G C and Pop I 2012 Int. J. Heat Mass Transfer 55 2945
|
[32] |
Bhattacharyya K, Hayat T and Alsaedi A 2013 Chin. Phys. B 22 024702
|
[33] |
Wang C Y 2008 Int. J. Non-Linear Mech. 43 377
|
[34] |
Ishak A, Lok Y Y and Pop I 2010 Chem. Eng. Commun. 197 1417
|
[35] |
Bhattacharyya K and Layek G C 2011 Int. J. Heat Mass Transfer 54 302
|
[36] |
Bhattacharyya K, Mukhopadhyay S and Layek G C 2011 Int. J. Heat Mass Transfer 54 308
|
[37] |
Mahapatra T R, Nandy S K and Gupta A S 2011 ASME J. Appl. Mech. 78 021015
|
[38] |
Lok Y Y, Ishak A and Pop I 2011 Int. J. Numer. Meth. Heat Fluid Flow 21 61
|
[39] |
Yacob N A, Ishak A and Pop I 2011 Comput. Fluids 47 16
|
[40] |
Bhattacharyya K 2011 Int. Commun. Heat Mass Transfer 38 917
|
[41] |
Bachok N, Ishak A and Pop I 2011 Commun. Nonlinear Sci. Numer. Simul. 16 4296
|
[42] |
Rosali H, Ishak A and Pop I 2011 Int. Commun. Heat Mass Transfer 38 1029
|
[43] |
Fan T, Xu H and Pop I 2010 Int. Commun. Heat Mass Transfer 37 1440
|
[44] |
Bhattacharyya K 2011 Chin. Phys. Lett. 28 084702
|
[45] |
Nazar R, Jaradat M, Arifin N M and Pop I 2011 Cent. Eur. J. Phys. 9 1195
|
[46] |
Bhattacharyya K and Vajravelu K 2012 Commun. Nonlinear Sci. Numer. Simul. 17 2728
|
[47] |
Dutta B K, Roy P and Gupta A S 1985 Int. Commun. Heat Mass Transfer 12 89
|
[48] |
Kumari M, Takhar H S and Nath G 1990 Wärme-und Stoffübertragung 25 331
|
[49] |
Vajravelu K and Rollins D 1991 J. Math. Anal. Appl. 158 241
|
[50] |
Vajravelu K and Hadjinicolaou A 1993 Int. Commun. Heat Mass Transfer 20 417
|
[51] |
Elbashbeshy E M A 1998 J. Phys. D: Appl. Phys. 31 1951
|
[52] |
AbelMS, Siddheshwar P G and NandeppanavarMM2007 Int. J. Heat Mass Transfer 50 960
|
[53] |
Ishak A, Nazar R and Pop I 2008 Phys. Lett. A 372 559
|
[54] |
Sahoo B and Do Y 2010 Int. Commun. Heat Mass Transfer 37 1064
|
[55] |
Ishak A, Nazar R and Pop I 2009 Chin. Phys. Lett. 26 014702
|
[56] |
Bhattacharyya K, Mukhopadhyay S and Layek G C 2011 Chin. Phys. Lett. 28 024701
|
[57] |
Bhattacharyya K and Layek G C 2011 Chin. Phys. Lett. 28 084705
|
[58] |
Bhattacharyya K 2012 Int. J. Heat Mass Transfer 55 3487
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|