## THERMAL SCIENCE

International Scientific Journal

### MIXED CONVECTION FLOW OF JEFFREY FLUID ALONG AN INCLINED STRETCHING CYLINDER WITH DOUBLE STRATIFICATION EFFECT

**ABSTRACT**

This paper addresses double stratified mixed convection boundary layer flow of Jeffrey fluid due to an impermeable inclined stretching cylinder. Heat transfer analysis is carried out with heat generation/absorption. Variable temperature and concentration are assumed at the surface of cylinder and ambient fluid. Non-linear partial differential equations are reduced into the non-linear ordinary differential equations after using the suitable transformations. Convergent series solutions are computed. Effects of various pertinent parameters on the velocity, temperature, and concentration distributions are analyzed graphically. Numerical values of skin friction coefficient, Nusselt, and Sherwood numbers are also computed and discussed.

**KEYWORDS**

PAPER SUBMITTED: 2014-11-06

PAPER REVISED: 2015-03-11

PAPER ACCEPTED: 2015-03-12

PUBLISHED ONLINE: 2015-05-03

**THERMAL SCIENCE** YEAR

**2017**, VOLUME

**21**, ISSUE

**2**, PAGES [849 - 862]

- Turkyilmazoglu, M. and Pop, I., Exact analytical solutions for the flow and heat transfer near the stagnation point on a stretching / shrinking sheet in a Jeffrey fluid. Int. J. Heat Mass Transfer., 57 (2013), pp. 82-88.
- Ellahi, R., Rahman, S. U. and Nadeem, S., Blood flow of Jeffrey fluid in a catherized tapered artery with the suspension of nanoparticles. Phys. Letter A., 3-78 (2014), pp. 2973-2980.
- Hayat, T., Shehzad, S. A. and Alsaedi, A., Three dimensional stretched flow of Jeffrey fluid with variable thermal conductivity and thermal radiation. Appl. Math. Mech. Engl. Ed., 34 (2013), pp. 823-832.
- Hayat, T., Qayyum, A., Alsaadi, F., Awais, M. and Dobaie, A. M., Thermal radiation effects in squeezing flow of a Jeffrey fluid. Eur. Phys. J. Plus., 128 (2013), pp. 85.
- Freidoonimehr, N., Rostami, B., Rashidi, M. M. and Momoniat, E., Analytical modelling of threedimensional squeezing nanofluid flow in a rotating channel on a lower stretching porous wall. Math. Prob. Eng., 2014 (2014), pp. 692728.
- Mukhopadhyay, S., Slip effects on MHD boundary layer flow over an exponentially stretching sheet with suction/blowing and thermal radiation. Ain Shams Eng. J., 4 (2013), pp. 485-491.
- Hayat. T., Anwar, M. S., Farooq, M. and Alseadi, A., MHD stagnation point flow of second grade fluid over a stretching cylinder with heat and mass transfer. Int. J. Nonlinear Sci. Number. Simul., 15 (2014), pp. 365-376.
- Turkyilmazoglu, M., Three dimensional MHD flow and heat transfer over a stretching/ shrinking surface in a viscoelastic fluid with various physical effects. Int. J. Heat Mass Transfer, 78 (2014), pp. 150-155.
- Mukhopadhyay, S., Chemically reactive solute transfer in boundary layer flow along a stretching cylinder in porous medium. Afr. Mat., 25 (2014), pp. 1-10.
- Sheikholeslami, M., Ashorynedjad, H. R., Barari, A. and Soleimani, S., Investigation of heat and mass transfer of rotating MHD viscous flow between a stretching sheet and a porous surface. Eng. Comput., 30 (2013), pp. 357-378.
- Bhattacharya, K., Mukhopadhyay, S. and Layek, G. C., Similarity solution of mixed convection boundary layer slip flow over a vertical plate. Ain Shams Eng. J., 4 (2013), pp. 299-305.
- Hayat, T., Farooq, M. and Alsaedi, A., Melting heat transfer in the stagnation-point flow Maxwell fluid with double-diffusive convection., 24 (2014), pp.760-774.
- Turkyilmazoglu, M., The analytical solution of mixed convection heat transfer and fluid flow of a MHD viscoelastic fluid over a permeable stretching surface. Int. J. Mech. Sci., 77 (2013), pp. 263-268.
- Rashad, A. M., Abbasbandy, S. and Chamkha, A. J., Mixed convection flow of a micropolar fluid over a continuously moving vertical surface immersed in a thermally and solutally stratified medium with chemical reaction. J. Taiwan Inst. Chem. Eng., 45 (2014), pp. 2163-2169.
- Rashidi, M. M., Ali, M., Freidoonimehr, N., Rostami, B. and Hossain, M. A., Mixed convection heat transfer for MHD viscoelastic fluid flow over a porous wedge with thermal radiation. Adv. Mech. Eng., 2014 (2014), pp. 735939.
- Hayat, T., Ashraf, M. B., Alsulami, H. H. and Alhuthali, M. S., Three-dimensional mixed convection flow of viscoelastic fluid with thermal radiation and convective conditions. Plos one., 9 (2014), pp. e90038.
- Ellahi, R., Riaz, A., Abbasbandy, S., Hayat, T., and Vafai, K., A study on the mixed convection boundary layer flow and heat transfer over a vertical slender cylinder. Thermal Sci. 18 (2014) 1247-1258.
- Singh, G., and Makinde, O. D., Mixed convection slip flow with temperature jump along a moving plate in presence of free stream. Thermal Sci. 19 (2015) 119-128.
- Ibrahim, W. and Makinde, O. D., The effect of double stratification on boundary layer flow and heat transfer of nanofluid over a vertical plate. Computers and Fluids., 86 (2013), pp. 433-441.
- Hayat. T., Hussain, T., Shehzad, S. A. and Alsaedi, A., Thermal and concentration stratifications effects in radiative flow of Jeffrey fluid over a stretching sheet. Plos one., 9 (2014), pp. e107858.
- Mukhopadhyay, S., MHD boundary layer flow and heat transfer over an exponentially stretching sheet embedded in a thermally stratified medium. Alex. Eng. J., 52 (2103), pp. 259-265.
- Srinivasacharya, D. and Upendar, M., Effect of double stratification on MHD free convection in a micropolar fluid. J. Egyp. Math. Soc., 21 (2013), pp. 370-378.
- Hayat. T., Hussain, Z., Farooq. M., Alsaedi, A. and Obaid, M., Thermally stratified stagnation point flow of an Oldroyd-B fluid. Int. J. Nonlinear Sci. Numer. Simulat., 15 (2014), pp. 77-86.
- Liao, S. J., Homotopy analysis method in non-linear differential equations, Springer and Higher Education Press, Heidelberg (2012).
- Rashidi, M. M., Kavyani. N. and Abelman, S., Investigation of entropy generation in MHD and slip flow over a rotating porous disk with variable properties. Int. J. Heat Mass Trans., 70 (2014), pp. 892-917.
- Abbasbandy, S. and Jalili, M., Determination of optimal convergence-control parameter value in homotopy analysis method. Numer. Algor., 64 (2013), pp. 593-605.
- Hayat, T., Farooq, M., Alsaedi, A. and Iqbal, Z., Melting heat transfer in the stagnation point flow of Powell-Eyring fluid. J. Thermophys. Heat Trans., 27 (2013), pp. 761-766.
- Turkyilmazoglu, M., Solution of the Thomas-Fermi equation with a convergent approach. Commun. Nonlinear Sci. Numer. Simulat., 17 (2012), pp. 4097-4103.
- Hayat, T., Qayyum, A. and Alseadi, A., MHD unsteady squeezing flow over a porous stretching plate. Eur. Phys. J. Plus., 128 (2013), pp. 157.
- Hayat, T., Imtiaz, M., and Alsaedi, A., MHD flow of nanofluid over permeable stretching sheet with convective boundary conditions. Thermal Sci. (2015) DOI: 10.2298/TSCI140819139H.