MHD stagnation point flow of Jeffrey fluid by a radially stretching surface with viscous dissipation and Joule heating

Hayat, Tasawar; Waqas, Muhammad; Shehzad, Sabir Ali; Alsaedi, Ahmed

doi:10.1515/johh-2015-0038

Abstract

The steady stagnation-point flow of an electrically conducting fluid due to convectively heated stretched disk in the radial direction is considered. Effects of viscous dissipation and Joule heating are present. Mathematical modelling is based upon constitutive relations of Jeffrey fluid. The governing partial differential equations are first transformed into the coupled system of ordinary differential equations and then solved for the convergent series solutions. Numerical values of skin friction coefficient and local Nusselt number are also computed and analysed.

References

Abbasbandy, S., Hashemi, M.S., Hashim, I., 2013. On convergence of homotopy analysis method and its application to fractional integro-differential equations. Quaestiones Mathematicae, 36, 93–105.10.2989/16073606.2013.780336
Search in Google Scholar
Abbasi, F.M., Shehzad, S.A., Hayat, T., Alsaedi, A., Obid, M.A., 2015. Influence of heat and mass flux conditions in hydromagnetic flow of Jeffrey nanofluid. AIP Advances, 5, 037111.10.1063/1.4914549
Search in Google Scholar
Attia, H.A., 2007. Axisymmetric stagnation point flow towards a stretching surface in the presence of a uniform magnetic field with heat generation. Tamkang J. Sci. Eng., 10, 11–16.
Search in Google Scholar
Aziz, A., 2009. A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition. Commun. Nonlinear Sci. Numer. Simulat., 14, 1064–1068.10.1016/j.cnsns.2008.05.003
Search in Google Scholar
Crane, L.J., 1970. Flow past a stretching plate. Z. Angew. Math. Phys., 21, 645–647.10.1007/BF01587695
Search in Google Scholar
Farooq, M., Gull, N., Hayat, T., Alsaedi, A., 2015. MHD flow of Jeffrey fluid with Newtonian heating. J. Mech., 1–11, doi: 10.1017/jmech.2014.93.10.1017/jmech.2014.93
Search in Google Scholar
Hassan, H.N., Rashidi, M.M., 2014. An analytic solution of micropolar flow in a porous channel with mass injection using homotopy analysis method. Int. J. Numer. Methods Heat Fluid Flow, 24, 419–437.10.1108/HFF-08-2011-0158
Search in Google Scholar
Hayat, T., Awais, M., 2011. Simultaneous effects of heat and mass transfer on time-dependent flow over a stretching surface. Int. J. Numer. Methods Fluids, 67, 1341–1357.10.1002/fld.2414
Search in Google Scholar
Hayat, T., Mustafa, M., Obaidat, S., 2011. Soret and Dufour effects on the stagnation-point flow of micropolar fluid toward a stretching sheet. ASME J. Fluid Eng., 133, 1–9.10.1115/1.4003505
Search in Google Scholar
Hayat, T., Awais, M., Alsaedi, A., 2012. Newtonian heating and magnetohydrodynamic effects in flow of a Jeffrey fluid over a radially stretching. Int. J. Physical Sci., 7, 2838–2844.10.5897/IJPS12.110
Search in Google Scholar
Hayat, T., Waqas, M., Shehzad, S.A., Alsaedi, A., 2013. Mixed convection radiative flow of Maxwell fluid near a stagnation point with convective condition. J. Mech., 29, 403–409.10.1017/jmech.2013.6
Search in Google Scholar
Hayat, T., Waqas, M., Shehzad, S.A., Alsaedi, A., 2014a. Effects of Joule heating and thermophoresis on stretched flow with convective boundary conditions. Scientia Iranica B, 21, 682–692.
Search in Google Scholar
Hayat, T., Shehzad, S.A., Al-Mezel, S., Alsaedi, A., 2014b. Three-dimensional flow of an Oldroyd-B fluid over a bidirectional stretching surface with prescribed surface temperature and prescribed surface heat flux. J. Hydrol. Hydromech., 62, 117–125.10.2478/johh-2014-0016
Search in Google Scholar
Hayat, T., Asad, S., Mustafa, M., Alsaedi, A., 2015. MHD stagnation-point flow of Jeffrey fluid over a convectively heated stretching sheet. Comput. Fluids, 108, 179–185.10.1016/j.compfluid.2014.11.016
Search in Google Scholar
Hiemenz, K., 1911. Die Grenzschicht an einem in den gleichförmigen Flüssigkeitsstrom eingetauchten geraden Kreiszylinder. Int. J. Dingler's Polytech., 326, 321–324.
Search in Google Scholar
Kothandapani, M., Srinivas, S., 2008. Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channel. Int. J. Non-Lin. Mech., 43, 915–924.10.1016/j.ijnonlinmec.2008.06.009
Search in Google Scholar
Makinde, O.D., Aziz, A., 2010. MHD Mixed convection from a vertical plate embedded in a porous medium with a convective boundary condition. Int. J. Therm. Sci., 49, 1813–1820.10.1016/j.ijthermalsci.2010.05.015
Search in Google Scholar
Mukhopadhyay, S., 2013. MHD boundary layer flow and heat transfer over an exponentially stretching sheet embedded in a thermally stratified medium. Alexandria Eng. J., 52, 259–265.10.1016/j.aej.2013.02.003
Search in Google Scholar
Rashidi, M.M., Rajvanshi, S.C., Keimanesh, M., 2012a. Study of pulsatile flow in a porous annulus with the homotopy analysis method. Int. J. Numer. Methods Heat Fluid Flow, 22, 971–989.10.1108/09615531211271817
Search in Google Scholar
Rashidi, M.M., Pour, S.A.M., Hayat, T., Obaidat, S., 2012b. Analytic approximate solutions for steady flow over a rotating disk in porous medium with heat transfer by homotopy analysis method. Comput. Fluids, 54, 1–9.10.1016/j.compfluid.2011.08.001
Search in Google Scholar
Shehzad, S.A., Alsaadi, F.E., Monaquel, S.J., Hayat, T., 2013. Soret and Dufour effects on the stagnation point flow of Jeffrey fluid with convective boundary condition. Eur. Phys. J. Plus, 128, 56.10.1140/epjp/i2013-13056-6
Search in Google Scholar
Sheikholeslami, M., Abelman, S., Ganji, D.D., 2014. Numerical simulation of MHD nanofluid flow and heat transfer considering viscous dissipation. Int. J. Heat Mass Transfer, 79, 212–222.10.1016/j.ijheatmasstransfer.2014.08.004
Search in Google Scholar
Tripathi, D., Ali, N., Hayat, T., Chaube, M.K., Hendi, A.A., 2011. Peristaltic flow of MHD Jeffrey fluid through a finite length cylindrical tube. Appl. Math. Mech. Engl. Edit., 32, 1148–1160.10.1007/s10483-011-1496-7
Search in Google Scholar
Turkyilmazoglu, M., 2012a. Three dimensional MHD stagnation flow due to a stretchable rotating disk. Int. J. Heat Mass Transfer, 55, 6959–6965.10.1016/j.ijheatmasstransfer.2012.05.089
Search in Google Scholar
Turkyilmazoglu, M., 2012b. Solution of Thomas-Fermi equation with a convergent approach. Commun. Nonlinear Sci. Numer. Simulat., 17, 4097–4103.10.1016/j.cnsns.2012.01.030
Search in Google Scholar
Zhu, J., Zheng, L., Zhang, Z., 2010. Effects of slip condition on MHD stagnation-point flow over a power-law stretching sheet. Appl. Math. Mech. Engl. Ed., 31, 439–448.10.1007/s10483-010-0404-z
Search in Google Scholar

MHD stagnation point flow of Jeffrey fluid by a radially stretching surface with viscous dissipation and Joule heating

Abstract

Paradigm

My account