**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30127

##### Unsteady Natural Convection Heat and Mass Transfer of Non-Newtonian Casson Fluid along a Vertical Wavy Surface

**Authors:**
A. Mahdy,
Sameh E. Ahmed

**Abstract:**

**Keywords:**
Casson fluid,
wavy surface,
mass transfer,
transient analysis.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1132100

**References:**

[1] B.Gebhart, Y. Jaluria, R.L. Mahajan, B. Sammakia, Buoyancy-Induced Flow and Transport, Hemisphere, New York, 1998.

[2] J. Jer-Huan,Y. Wei-Mon, L. Hui-Chung, “Natural convection heat and mass transfer along a vertical wavy surface”, Int. J. Heat Mass Transfer vol. 46 pp. 1075-1083, 2003.

[3] A. Mahdy, “MHD non-Darcian free convection from a vertical wavy surface embedded in porous media in the presence of Soret and Dufour effect”, Int. Commu. Heat Mass Transfer, vol. 36, pp. 1067-1074, 2009.

[4] A. Mahdy, E.A. Sameh, Laminar free convection over a vertical wavy surface embedded in a porous medium saturated with a nanoﬂuid, Transp. Porous Med., vol 91, pp. 423–435, 2012.

[5] E.A. Sameh, M.M. Abd El-Aziz, “Effect of local thermal non-equlibrium on unsteady heat transfer by natural convection of a nanofluid over a vertical wavy surface:, Meccanica vol. 48, pp. 33-43, 2013.

[6] H.I. Andersson and B.S. Dandapat, “Flow of a power-law fluid over a stretching sheet”, Appl. Anal. Continuous Media vol. 1, pp. 339-347, 1992.

[7] I.A. Hassanien, “Flow and heat transfer on a continuous flat surface moving in a parallel free stream of power-law fluid”, Appl. Model vol. 20 pp. 779–784, 1996.

[8] B. Serdar, M. Salih Dokuz, “Three-dimensional stagnation point flow of a second grade fluid towards a moving plate”, Int. J. Eng. Sci. vol. 44, pp. 49–58, 2006.

[9] A.M. Siddiqui, A. Zeb, Q.K. Ghori, A.M. Benharbit, “Homotopy perturbation method for heat transfer flow of a third grade fluid between parallel plates”, Chaos Solitons Fractals vol. 36, pp. 182–192, 2008.

[10] M. Sajid, I. Ahmad, T. Hayat and M. Ayub, “Unsteady flow and heat transfer of a second grade fluid over a stretching sheet”, Commun. Nonlinear Sci. Numer. Simul. Vol. 14, pp. 96–108, (2009).

[11] M. Mustafa, T. Hayat, I. Pop and A. Aziz, “Unsteady boundary layer flow of a Casson fluid due to an impulsively started moving flat plate”, Heat Transfer – Asian Res. Vol. 40, pp. 563–576, 2011.

[12] K. Bhattacharyya, T. Hayat, A. Alsaedi, “Analytic solution for magnetohydrodynamic boundary layer flow of Casson fluid over a stretching/shrinking sheet with wall mass transfer”, Chin. Phys. B vol. 22(2), pp. 024702, 2013 .

[13] Y.C. Fung, Biodynamics circulation. New York Inc: Springer Verlag; 1984.

[14] S. Nadeem, R. Ul Haq, C. Lee, “MHD flow of a Casson fluid over an exponentially shrinking sheet”, Sci. Iran vol. 19(6), pp. 1550–1553, (2012).

[15] A. Kandasamy, R.G. Pai, “Entrance region flow of Casson fluid in a circular tube”, Appl. Mech. Mater vol. 110/116, pp. 698–706, (2012).

[16] N. Casson In: Mill CC, editor. Rheology of dispersed system, vol. 84. Oxford: Pergamon Press; 1959.

[17] W.P. Walwander, T.Y. Chen, D.F. Cala, Biorheology vol. 12, pp. 111, 1975.

[18] G.V. Vinogradov, A.Y. Malkin, Rheology of polymers. Moscow: Mir Publisher; 1979.

[19] R.K. Dash, K.N. Mehta and G. Jayaraman, “Casson fluid flow in a pipe filed with a homogeneous porous medium”, Int. J Eng. Sci. vol. 34(10), pp. 1145–1156, 1996.

[20] N.T.M. Eldabe, M.G.E. Salwa, “Heat transfer of MHD non-Newtonian Casson fluid flow between two rotating cylinders”, J. Phys. Soc. Jpn. Vol. 64, pp. 41–64, 1995.

[21] J. Boyd, J.M. Buick, S. Green, “Analysis of the Casson and Carreau-Yasuda non-Newtonian blood models in steady and oscillatory flow using the lattice Boltzmann method”, Phys. Fluids vol. 19, pp. 93–103, 2007.

[22] M. Nakamura, T. Sawada, Numerical study on the flow of a non-Newtonian fluid through an axisymmetric stenosis, ASME J Biomechanical Eng vol. 110, pp. 137–143, 1988.

[23] L.S. Yao, “A note on Prandtl's transposition theorem”, ASME J. Heat Transfer vol. 110, pp. 503-507, 1989.

[24] L.S. Yao, “Natural convection along a wavy surface”, ASME J. Heat Transfer vol. 105, pp. 465-468, 1983.

[25] Bapuji Pullepu, Ali J. Chamkha,, I. Pop, “Unsteady laminar free convection flow past a non-isothermal vertical cone in the presence of a magnetic field”, Chem. Eng. Comm., vol. 199, pp. 354-367, 2012.