메뉴 건너뛰기




Volumn 64, Issue 7, 2010, Pages 761-776

Effect of heat transfer on the flow of a second-grade fluid in divergent/convergent channel

Author keywords

Channel flow; Heat transfer and analytic solutions; Second grade fluid

Indexed keywords

ENERGY EQUATION; FLOW AND HEAT TRANSFER; HOMOTOPY ANALYSIS METHODS; NONDIMENSIONAL; SECOND-GRADE FLUID; SERIES SOLUTIONS;

EID: 78649946502     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.2170     Document Type: Article
Times cited : (23)

References (32)
  • 1
    • 33750451236 scopus 로고    scopus 로고
    • Hermite Pade approximations approach to MHD Jeffery-Hamel flows
    • Makinde OD, Mhone PY. Hermite Pade approximations approach to MHD Jeffery-Hamel flows. Applied Mathematics and Computation 2006; 181:966-972.
    • (2006) Applied Mathematics and Computation , vol.181 , pp. 966-972
    • Makinde, O.D.1    Mhone, P.Y.2
  • 3
    • 0001083899 scopus 로고
    • The two-dimensional steady motion of a viscous fluid
    • Jeffery GB. The two-dimensional steady motion of a viscous fluid. Philosophical Magazine 1915; 6:455-465.
    • (1915) Philosophical Magazine , vol.6 , pp. 455-465
    • Jeffery, G.B.1
  • 4
    • 0003670270 scopus 로고
    • An Introduction to Fluid Dynamics
    • Cambridge University Press: Cambridge
    • Batchelor GK. An Introduction to Fluid Dynamics. Cambridge University Press: Cambridge, 1967.
    • (1967)
    • Batchelor, G.K.1
  • 5
    • 0022925935 scopus 로고
    • Bifurcation of two-dimensional channel flows
    • Sobey IJ, Drazin IJ. Bifurcation of two-dimensional channel flows. Journal of Fluid Mechanics 1986; 171:263-287.
    • (1986) Journal of Fluid Mechanics , vol.171 , pp. 263-287
    • Sobey, I.J.1    Drazin, I.J.2
  • 8
    • 0000762280 scopus 로고
    • Navier-Stokes Equations and Related Non-linear Problems
    • Sequiera A (ed.). Plenum Press: New York
    • Rajagopal KR. On boundary conditions for fluid of differential type. In Navier-Stokes Equations and Related Non-linear Problems, Sequiera A (ed.). Plenum Press: New York, 1995.
    • (1995) On boundary conditions for fluid of differential type
    • Rajagopal, K.R.1
  • 9
    • 0021127642 scopus 로고
    • An exact solution for the flow of a non-Newtonian fluid past an infinite plate
    • Rajagopal KR, Gupta AS. An exact solution for the flow of a non-Newtonian fluid past an infinite plate. Meccanica 1984; 19:158-160.
    • (1984) Meccanica , vol.19 , pp. 158-160
    • Rajagopal, K.R.1    Gupta, A.S.2
  • 10
    • 38949125470 scopus 로고    scopus 로고
    • Unsteady flow of a second grade fluid between two side walls perpendicular to plate
    • Fetecau C, Hayat T, Fetecau C, Ali N. Unsteady flow of a second grade fluid between two side walls perpendicular to plate. Nonlinear Analysis: Series B 2008; 9:1236-1252.
    • (2008) Nonlinear Analysis: Series B , vol.9 , pp. 1236-1252
    • Fetecau, C.1    Hayat, T.2    Fetecau, C.3    Ali, N.4
  • 11
    • 0034827983 scopus 로고    scopus 로고
    • On a class of exact solutions of equations of motion of a second grade fluid
    • Fetecau C, Zierep J. On a class of exact solutions of equations of motion of a second grade fluid. Acta Mechanica 2005; 15:135-138.
    • (2005) Acta Mechanica , vol.15 , pp. 135-138
    • Fetecau, C.1    Zierep, J.2
  • 12
    • 22944437728 scopus 로고    scopus 로고
    • Starting solutions for some unidirectional flows of a second grade fluid
    • Fetecau C, Fetecau C. Starting solutions for some unidirectional flows of a second grade fluid. International Journal of Engineering Science 2005; 43:781-789.
    • (2005) International Journal of Engineering Science , vol.43 , pp. 781-789
    • Fetecau, C.1    Fetecau, C.2
  • 14
    • 0345306151 scopus 로고    scopus 로고
    • Hall effects on the unsteady hydromagnetic oscillatory flow of a second grade fluid
    • Hayat T, Wang Y, Hutter K. Hall effects on the unsteady hydromagnetic oscillatory flow of a second grade fluid. International Journal of Non-linear Mechanics 2004; 39:1027-1037.
    • (2004) International Journal of Non-linear Mechanics , vol.39 , pp. 1027-1037
    • Hayat, T.1    Wang, Y.2    Hutter, K.3
  • 15
    • 0020292255 scopus 로고
    • A note on unsteady unidirectional flow of non-Newtonian fluids
    • Rajagopal KR. A note on unsteady unidirectional flow of non-Newtonian fluids. International Journal of Non-linear Mechanics 1982; 17:369-373.
    • (1982) International Journal of Non-linear Mechanics , vol.17 , pp. 369-373
    • Rajagopal, K.R.1
  • 17
    • 9544246749 scopus 로고    scopus 로고
    • Stoke's first problem for a second grade fluid in a porous half space with heated boundary
    • Tan WC, Masuoka T. Stoke's first problem for a second grade fluid in a porous half space with heated boundary. International Journal of Non-linear Mechanics 2005; 40:515-522.
    • (2005) International Journal of Non-linear Mechanics , vol.40 , pp. 515-522
    • Tan, W.C.1    Masuoka, T.2
  • 20
    • 0141961626 scopus 로고    scopus 로고
    • On the homotopy analysis method for nonlinear problems
    • Liao SJ. On the homotopy analysis method for nonlinear problems. Applied Mathematics and Computation 2004; 147:499-513.
    • (2004) Applied Mathematics and Computation , vol.147 , pp. 499-513
    • Liao, S.J.1
  • 21
    • 38649139314 scopus 로고    scopus 로고
    • Approximate solution of the nonlinear model of diffusion and reaction catalysts by means of the homotopy analysis method
    • Abbasbandy S. Approximate solution of the nonlinear model of diffusion and reaction catalysts by means of the homotopy analysis method. Chemical Engineering Journal 2008; 136:144-150.
    • (2008) Chemical Engineering Journal , vol.136 , pp. 144-150
    • Abbasbandy, S.1
  • 23
    • 43649103293 scopus 로고    scopus 로고
    • Three dimensional flow over a stretching surface in a viscoelastic fluid
    • Sajid M, Hayat T, Pop I. Three dimensional flow over a stretching surface in a viscoelastic fluid. Non-linear Analysis: Real World Applications 2008; 9:1811-1822.
    • (2008) Non-linear Analysis: Real World Applications , vol.9 , pp. 1811-1822
    • Sajid, M.1    Hayat, T.2    Pop, I.3
  • 24
    • 49049102090 scopus 로고    scopus 로고
    • Homotopy analysis method for generalized Benjamin-Bona-Mahony equation
    • Abbasbandy S. Homotopy analysis method for generalized Benjamin-Bona-Mahony equation. Zeitschrift für Angewandte Mathematik und Physik 2008; 59:51-62.
    • (2008) Zeitschrift für Angewandte Mathematik und Physik , vol.59 , pp. 51-62
    • Abbasbandy, S.1
  • 25
    • 40249098175 scopus 로고    scopus 로고
    • Heat and mass transfer analysis on the flows of a second grade fluid in the presence of chemical reaction
    • Hayat T, Abbas Z, Sajid M. Heat and mass transfer analysis on the flows of a second grade fluid in the presence of chemical reaction. Physics Letters A 2008; 372:2400-2408.
    • (2008) Physics Letters A , vol.372 , pp. 2400-2408
    • Hayat, T.1    Abbas, Z.2    Sajid, M.3
  • 26
    • 9544235134 scopus 로고    scopus 로고
    • Beyond Perturbation: Introduction to Homotopy Analysis Method
    • Chapman & Hall, CRC Press: Boca Raton, FL
    • Liao SJ. Beyond Perturbation: Introduction to Homotopy Analysis Method. Chapman & Hall, CRC Press: Boca Raton, FL, 2003.
    • (2003)
    • Liao, S.J.1
  • 27
    • 41649118399 scopus 로고    scopus 로고
    • Analytic solution for MHD rotating flow of a second grade fluid over a shrinking surface
    • Hayat T, Javed T, Sajid M. Analytic solution for MHD rotating flow of a second grade fluid over a shrinking surface. Physics Letters A 2008; 372:3264-3273.
    • (2008) Physics Letters A , vol.372 , pp. 3264-3273
    • Hayat, T.1    Javed, T.2    Sajid, M.3
  • 28
    • 17944369480 scopus 로고    scopus 로고
    • A new branch of solutions of unsteady boundary layer flows over an impermeable stretched plate
    • Liao SJ. A new branch of solutions of unsteady boundary layer flows over an impermeable stretched plate. International Journal of Heat and Mass Transfer 2005; 48:2529-2539.
    • (2005) International Journal of Heat and Mass Transfer , vol.48 , pp. 2529-2539
    • Liao, S.J.1
  • 29
    • 46449139755 scopus 로고    scopus 로고
    • Unsteady axisymmetric flow of a second grade fluid over a radially stretching sheet
    • Ahmad I, Sajid M, Hayat T, Ayub M. Unsteady axisymmetric flow of a second grade fluid over a radially stretching sheet. Computers and Mathematics with Application 2008; 56:1351-1357.
    • (2008) Computers and Mathematics with Application , vol.56 , pp. 1351-1357
    • Ahmad, I.1    Sajid, M.2    Hayat, T.3    Ayub, M.4
  • 30
    • 42949170894 scopus 로고    scopus 로고
    • Heat transfer analysis on MHD flow of a second grade fluid in a channel with porous medium
    • Hayat T, Abbas Z. Heat transfer analysis on MHD flow of a second grade fluid in a channel with porous medium. Chaos, Solitons, and Fractals 2008; 38:556-567.
    • (2008) Chaos, Solitons, and Fractals , vol.38 , pp. 556-567
    • Hayat, T.1    Abbas, Z.2
  • 31
    • 35448933724 scopus 로고    scopus 로고
    • Soliton solution for the fifth-order Kdv equation with the homotopy analysis method
    • Abbasbandy S, Zakaria FS. Soliton solution for the fifth-order Kdv equation with the homotopy analysis method. Non-linear Dynamic Models 2008; 51:83-87.
    • (2008) Non-linear Dynamic Models , vol.51 , pp. 83-87
    • Abbasbandy, S.1    Zakaria, F.S.2
  • 32
    • 33750714429 scopus 로고    scopus 로고
    • Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet
    • Hayat T, Sajid M. Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet. International Journal of Heat Mass Transfer 2007; 50:75-84.
    • (2007) International Journal of Heat Mass Transfer , vol.50 , pp. 75-84
    • Hayat, T.1    Sajid, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.