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This article addresses the Falkner-Skan flow of an incompressible Walter-B fluid. Fluid flow is caused by a stretching wedge with thermal radiation and prescribed surface heat flux. Appropriate transformations are used to obtain the system of nonlinear ordinary differen- tial equations. Convergent series solutions are obtained by the homotopy analysis method. Influence of pertinent parameters on the velocity, temperature and Nusselt number are in- vestigated. It is observed that by increasing the viscoelastic parameter, the fluid velocity decreases. There is an enhancement of the heat transfer rate for the viscoelastic parameter and power law index. It is also found that the Prandtl number and radiation parameter decrease the heat transfer rate.
Czasopismo
Rocznik
Tom
Strony
117--127
Opis fizyczny
Bibliogr. 35 poz., rys., tab.
Twórcy
autor
- Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan and Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia
autor
- Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan
autor
- Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan
autor
- Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia
Bibliografia
- 1. Abbasbandy S., Hayat T.,Alsaedi A., Rashidi M. M., 2014a, Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid, International Journal of Numerical Methods of Heat and Fluid Flow, 24, 390-401
- 2. Abbasbandy S., Naz R., Hayat T., Alsaedi A., 2014b, Numerical and analytical solutions for Falkner-Skan flow of MHD Maxwell fluid, Applied Mathematics and Computation, 242, 569-575
- 3. Bhattacharyya K., 2013, MHD stagnation point flow of Casson fluid and heat transfer over a stretching sheet with thermal radiation, Journal of Thermodynamics, 2013, 169674
- 4. Bhattacharyya K., Mukhopadhyay S., Layek G.C., Pop I., 2012, Effects of thermal radiation on micropolar fluid flow and heat transfer over a porous shrinking sheet, International Journal of Heat and Mass Transfer, 55, 2945-2952
- 5. Chang T.B., Mehmood A., Beg O.A., Narahari M., Islam M.N., Ameen F., 2011, Numerical study of transient free convective mass transfer in a Walters-B viscoelastic flow with wall suction, Communications in Nonlinear Science and Numerical Simulation, 16, 216-225
- 6. Falkner V.M., Skan S.W., 1931, Some approximate solutions of the boundary-layer equations, Philosophical Magazine, 12, 865-896
- 7. Fang T., Yao S., Zhang J., Zhong Y., Tao H., 2012, Momentum and heat transfer of the Falkner-Skan flow with algebraic decay, Communications in Nonlinear Science and Numerical Simulation , 17, 2476-2488
- 8. Farooq U., Hayat T., Alsaedi A., Liao S. J., 2014, Heat and mass transfer of two-layer flows of third-grade nano-fluids in a vertical channel, Applied Mathematics and Computation, 242, 528-540
- 9. Hakeem A.K.A., Ganesh N.V., Ganga B., 2014, Effect of heat radiation in a Walter’s liquid B fluid over a stretching sheet with non-uniform heat source/sink and elastic deformation, Journal of King Saud University – Engineering Sciences, 26, 168-175
- 10. Hayat T., Asad S., Mustafa M., Alsulami H.H., 2014a, Heat transfer analysis in the flow of Walters’ B fluid with a convective boundary condition. Chinese Physics B, 23, 084701
- 11. Hayat T., Awais M., Asghar S., 2013a, Radiative effects in a three-dimensional flow of MHD Eyring-Powell fluid, Journal of Egyptian Mathematical Society, 21, 379-384
- 12. Hayat T., Farooq M., Iqbal Z., Alsaedi A., 2012, Mixed convection Falkner-Skan flow of a Maxwell fluid, Journal of Heat Transfer, 134, 114504
- 13. Hayat T., Imtiaz M., Alsaedi A., 2015a, MHD flow of nanofluid with homogeneous-heterogeneous reactions and velocity slip, Thermal Sciences, DOI: 10.2298/TSCI140922067H
- 14. Hayat T., Imtiaz M., Alsaedi A., 2015b, Partial slip effects in flow over nonlinear stretching surface, Applied Mathematical Mechanics, 36, 1513-1526
- 15. Hayat T., Imtiaz M., Alsaedi A., 2016, Unsteady flow of nanofluid with double stratification and magnetohydrodynamics, International Journal of Heat and Mass Transfer, 92, 100-109
- 16. Hayat T., Naz R., Asghar S., Alsaedi A., 2014b, Soret-Dufour effects on MHD rotating flow of a viscoelastic fluid, International Journal of Numerical Methods of Heat and Fluid Flow, 24, 498-520
- 17. Hayat T., Shafiq A., Mustafa M., Alsaedi A., 2015c, Boundary-layer flow of Walters’ B fluid with Newtonian heating, Zeitschrift f¨ur Naturforschung A, 70, 5, 333-341
- 18. Hayat T., Shahzad S. A., Asghar S., 2013b, MHD flow of thixotropic fluid with variable thermal conductivity and thermal radiation, Walailak Journal of Science and Technology, 10, 29-42
- 19. Hayat T., Waqas M., Shehzad S. A., Alsaedi A., 2013c, Mixed convection radiative flow of Maxwell fluid near stagnation point with convective condition, Journal of Mechanics, 29, 403-409
- 20. Hendi F. A., Hussain M., 2012, Analytic solution for MHD Falkner-Skan flow over a porous surface, Journal of Applied Mathematics, 2012, 123185
- 21. Khan W.A., Pop I., 2013, Boundary layer flow past a wedge moving in a nano-fluid, Mathematical Problems in Engineering, 2013, 637285
- 22. Lin Y., Zheng L., Cheng G., 2015, Unsteady flow and heat transfer of pseudoplasticnano-liquid in a finite thin film on a stretching surface with variable thermal conductivity and viscous dissipation, Powder Technology, 274, 324-332
- 23. Madani S.A., Akbar R., Khoeilar R., 2012, On the study of viscoelastic Walter’s B fluid in boundary layer flows, Mathematical Problems in Engineering, 2012, 861508
- 24. Nadeem S., Mehmood R., Motsa S.S., 2015, Numerical investigation on MHD oblique flow of Walter’s B type nanofluid over a convective surface, International Journal of Thermal Sciences, 92, 162-172
- 25. Nandepanavar M.M., Abel M.S., Tawade J.V., 2010, Heat transfer in aWalter’s liquid B fluid over an impermeable stretching sheet with non-uniform heat source/sink and elastic deformation, Communications in Nonlinear Science and Numerical Simulation, 15, 1791-1802
- 26. Pal D., 2013, Hall current and MHD effects on heat transfer over an unsteady stretching permeable surface with thermal radiation, Computer Mathematical with Applications, 66, 1161-1180
- 27. Ramesh K., Devakar M., 2015, Effect of heat transfer on the peristaltic flow of Walter-B fluid in a vertical channel with external magnetic field, Journal of Aerospace Engineering, 10, 04015050
- 28. Ramzan M., Farooq M., Alhothuali M.S., Malaikah H.M., Cui W., Hayat T., 2015, Three dimensional flow of an Oldroyd-B fluid with Newtonian heating, International Journal of Numerical Methods of Heat and Fluid Flow, 25, 1, 68-85
- 29. Rashidi M.M., Ali M., Freidoonimehr N., Rostami B., Hossain M.A., 2014, Mixed convective heat transfer for MHD viscoelastic fluid flow over a porous wedge with thermal radiation, Advance Mechanical Engineering, 6, 735939
- 30. Shahzad S.A., Qasim M., Hayat T., Sajid M., Obaidat S., 2013, Boundary layer flow of Maxwell fluid with power law heat flux and heat source, International Journal of Numerical Methods of Heat and Fluid Flow, 23, 1225-1241
- 31. Sheikholeslami M., Ganji D.D., Javed M.Y., Ellahi R., 2015, Effect of thermal radiation on MHD nanofluid flow and heat transfer by means of two phase model, Journal of Magnetic Magnetism Material, 374, 36-43
- 32. Su X., Zheng L., 2011, Approximate solutions to MHD Falkner-Skan flow over permeable wall, Appllied Mathematical Mechanics, 32, 401-408
- 33. Sui J., Zheng L., Zhang X., Chen G., 2015, Mixed convection heat transfer in power law fluids over a moving conveyor along an inclined plate, International Journal of Heat and Mass Transfer, 85, 1023-1033
- 34. Talla H., 2013, Numerical study of flow of Walter’s liquid B over an exponentially stretching sheet, International Journal of Scientific and Research Publications, 3, 2250-3153
- 35. Yacob N.A., Ishak A., Nazar R., Pop I., 2011, Falkner-Skan problem for a static and moving edge with prescribed surface heat flux in nano-fluid, International Communications in Heat and Mass Transfer, 38, 149-153
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)
Typ dokumentu
Bibliografia
Identyfikator YADDA
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