Mixed convection in MHD flow and heat transfer rate near a stagnation-point on a non-linear vertical stretching sheet

• Autorzy: Fenuga O. J. , Hassan A. R. , Olanrewaju P. O.

Identyfikatory

DOI

10.2478/ijame-2020-0004

• Języki publikacji: EN

Abstrakty

EN

This work investigates the mixed convection in a Magnetohydrodynamic (MHD) flow and heat transfer rate near a stagnation-point region over a nonlinear vertical stretching sheet. Using a similarity transformation, the governing equations are transformed into a system of ordinary differential equations which are solved numerically using the fourth order Runge-Kutta method with shooting technique. The influence of pertinent flow parameters on velocity, temperature, surface drag force and heat transfer rate are computed and analyzed. Graphical and tabular results are given to examine the nature of the problem. The heat transfer rate at the surface increases with the mixed convection.

Słowa kluczowe

EN

mixed convection; MHD flow; heat transfer rate; stagnation point; non-linear vertical stretching sheet

PL

konwekcja mieszana; przepływ magnetohydrodynamiczny; wymiana ciepła

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2020
• Tom: Vol. 25, no. 1
• Strony: 37--51
• Opis fizyczny: Bibliogr. 26 poz., tab., wykr.

Twórcy

autor

Fenuga O. J.

• Department of Mathematics, University of Lagos Akoka, Lagos, NIGERIA

autor

Hassan A. R.

• Department of Mathematics, Tai Solarin University of Education Ogun State, NIGERIA

autor

Olanrewaju P. O.

• Department of Mathematics and Statistics, Federal University Wukari, TarabaState, NIGERIA

Bibliografia

• [1] Ali F.M., Nazar R., Arin N.N and Pop I. (2014): Mixed convection stagnation-point flow on vertical stretching shet with external magnetic field. − Appl. Math. Mech., vol.35, No.2, pp.155-166.
• [2] Ali F. and Zaib A. (2019): Unsteady flow of an Eyring-Powell Nano fluid near stagnation point past a convectively heated stretching sheet. − Arab Journal of Basic Applied Sciences, Taylor and Francis, vol.26, No.1, pp.215-224.
• [3] Akyildiz F.T. and Siginer D.A. (2010): Galerkin-Legendre spectral method for the velocity and thermal boundary layers over a non-linearly stretching sheet. − Nonlinear Anal., Real World Appl., vol.11, No.2, pp.735-741.
• [4] Ashraf M.B., Hayat T. and Alsaedi A. (2015): Three-dimensional flow of Eyring-Powell nanofluid by convectively heated exponentially stretching sheet. − Eur. Phys. J. Plus, vol.130, No.1, pp.1-16.
• [5] Akyildiz F.T., Siginer D.A., Vajravelu K., Cannon J.R. and Van Gorder R.A. (2010): Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet. − Math. Methods Appl. Sci., vol.33, No.5, pp.601-606.
• [6] Das S., Jana R.N. and Makinda O.D. (2014): MHD boundary layer slip flow and heat transfer of nanofluid past a vertical stretching sheet with non-uniform heat generation/absorption. − Int. J. Nanosci., vol.13, No.3, 1450019.
• [7] Das M., Mahatha B.K. and Nandkeolyar R. (2015): Mixed convection and nonlinear radiation in the stagnation point Nanofluid flow towards a stretching sheet with homogeneous-heterogeneous reaction effects. − Procedia Engineering, vol.127, Elsevier, Science Direct, pp.1018-1025.
• [8] Dhanai R.P., Rana P. and Kumar L. (2015): Multiple solutions of MHD boundary layer flow and heat transfer behavior of nanofluids induced by a power-law stretching/shrinking permeable sheet with viscous dissipation. − Powder Technol., vol.273, pp.62-70.
• [9] Fauzi N.F., Ahmad S. and Pop I. (2015): Stagnation-point flow and heat transfer over a nonlinear shrinking sheet with slip effects. − Alexandra Engineering Journal, Elsevier, Science Direct, vol.54, No.4, pp.929-939.
• [10] Govardhan K., Nagaraju G., Kaladhar K. and Balasiddulu M. (2015): MHD and radiation effects on mixed convection unsteady flow of micropolar fluid over a stretching sheet. − Procedia of Computer Science, Elsevier, Science Direct, vol.57, pp.65-76.
• [11] Ishak A., Jafar K., Nazar R. and Pop I. (2009): MHD stagnation point flow towards a stretching sheet. − Physica A vol.388, No.13, pp.3377-3383.
• [12] Ishak A., Nazar R. and Pop I. (2010): MHD mixed convection boundary layer flow towards a stretching vertical surface with constant wall temperature. − Int. J. Heat and Mass Transfer, vol.53, No.23-24, pp.5330-5334.
• [13] Khan Z.H., Khan W.A., Qasim M. and Shah I.A. (2014): MHD stagnation point ferro fluid flow and heat transfer toward a stretching sheet. − IEEE Trans. Nanotechnol., vol.13, No.1, pp.35-40.
• [14] Kham M.I., Tamoor M., Hayat T. and Alsaedi A. (2017): MHD boundary layer thermal slip flow by nonlinearly stretching cylinder with suction/blowing and radiation. − Results in Physics, Elsevier, Science Direct, vol.7, pp.1207-1211.
• [15] Mabood F., Khan W.A. and Ismail A.M. (2015): MHD boundary layer flow and heat transfer of nanofluids over a nonlinear stretching sheet: a numerical study. − J. Magnetism and Magnetic Materials., Elsevier, vol.374, pp.569-576.
• [16] Mahatha B.K., Nandkeolyar R., Nagaraju G. and Das M. (2015): MHD stagnation point flow of a Nano fluid with velocity slip, nonlinear radiation and Newtonian heating. − Procedia Engineering, Elsevier, Science Direct, vol.127, pp.1010-1017.
• [17] Makinde O.D. (2012): Heat and mass transfer by MHD mixed convection stagnation point flow toward a vertical plate embedded in a highly porous medium with radiation and internal heat generation. − Meccanica, vol.47, pp.1173-1184.
• [18] Makinde O.D., Khan A.H. and Khan Z.H. (2013): Buoyancy effects on MHD stagnation point flow and heat transfer of a nanofluid past a convectively heated stretching/shrinking sheet. − Int. J. Heat Mass Transfer, vol.62, pp.526-533.
• [19] Matta A. and Gajjela N. (2018): Order of chemical reaction and convective boundary condition effects on micropolar fluid flow over a stretching sheet. − AIP Advances 8, 115212, doi: 1063/10.1063/1.5053445.
• [20] Medikare M., Joga S. and Chidem K.K. (2016): MHD stagnation point flow of a casson fluid over a nonlinearly stretching sheet with viscous dissipation. − American Journal of Computational Mathematics, vol.6, No.1, pp.10.4234/ajcm.2016,61005.
• [21] Nagaraju C. and Ramana Muphy J.V. (2013): MHD flow of longitudinal and torsional oscillations of a porous circular cylinder with suction in a couple stress fluid. − International Journal of Mechanics and Engineering, vol.18, No.4, pp.1099-1114.
• [22] Nandeppanavar M.M., Kemparaju M.C. and Shakunthala S. (2018): MHD stagnation point slip flow due to a nonlinearly moving surface with effect of non-uniform heat source. − Nonlinear Engineering, Modelling and Applications, DE- Gruyter, vol.8, No.1, doi:10.1515.
• [23] Shen M., Wang F. and Chen H. (2015): MHD Mixed Convection slip flow near stagnation-point on a nonlinearly vertical stretching sheet. Boundary value problem. − Springer open Journal, No.1, 78.
• [24] Shateyi S. and Mabood F. (2017): MHD mixed convection slip flow near a stagnation point on a nonlinearly vertical stretching sheet in the presence of viscous dissipation. − Thermal Science, vol.21, No.6B, pp.2709-2723.
• [25] Shateyi S. and Makinde O.D. (2013): Hydromagnetic stagnation-point flow towards a radially stretching convectively heated disk. − Math. Probl. Eng., Article ID 616947.
• [26] Shateyi S. and Marewo G.T. (2014): Numerical analysis of unsteady MHD flow near a stagnation point of a twodimensional porous body with heat and mass transfer, thermal transfer and chemical reaction. − Boundary Value Problem, 2014(218).

Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020)