Magnetohydrodynamic (MHD) Slip Darcy Flow of Viscoelastic Fluid Over A Stretching Sheet and Heat Transfer with Thermal Radiation and Viscous Dissipation

CFD Letters
Volume 12, No. 1, January 2020, Pages 1-12

Nur Syahirah Wahid1, Mohd Ezad Hafidz Hafidzuddin2,*, Norihan Md Arifin1,3, Mustafa Turkyilmazoglu4, Nor Aliza Abd Rahmin1

1 Department of Mathematics, Universiti Putra Malaysia, Serdang Selangor 43400 UPM, Malaysia
2 Centre of Foundation Studies for Agricultural Science, Universiti Putra Malaysia, Serdang Selangor 43400 UPM, Malaysia
3 Institute for Mathematical Research, Universiti Putra Malaysia, Serdang Selangor 43400 UPM, Malaysia
4 Mathematics Department, University of Hacettepe, Beytepe, Ankara, Turkey
*Corresponding author: ezadhafidz@upm.edu.my

KEYWORDS

Viscoelastic fluid; Velocity slip; Magnetohydrodynamic; Porous medium; Viscous dissipation; Thermal radiation

ABSTRACT

In this paper, we analytically study about the boundary layer flow and heat transfer on non-Newtonian fluid which in particular is the viscoelastic fluid. The magnetohydrodynamic (MHD) slip Darcy flow of viscoelastic fluid over a stretching surface in a porous medium with the presence of thermal radiation and viscous dissipation is examined. The results for two viscoelastic fluids which is elastico-viscous fluid and second grade fluid are obtained and compared. The governing partial differential equations are reduced to non-linear ordinary differential equations with the aid of similarity transformation, which are then solved analytically by using exact analytical method. The effects of the physical parameters on the velocity and temperature fields are presented through graphs and are discussed. Skin friction and heat transfer coefficients are computed and analysed.

CITE THIS ARTICLE

MLA
Nur Syahirah, Wahid, et al. “Magnetohydrodynamic (MHD) Slip Darcy Flow of Viscoelastic Fluid Over A Stretching Sheet and Heat Transfer with Thermal Radiation and Viscous Dissipation.” CFD Letters 12.1 (2020): 1-12.

APA
Nur Syahirah, W., Mohd Ezad Hafidz, H., Norihan, M. A., Mustafa, T., & Nor Aliza, A. R.(2020). Magnetohydrodynamic (MHD) Slip Darcy Flow of Viscoelastic Fluid Over A Stretching Sheet and Heat Transfer with Thermal Radiation and Viscous Dissipation. CFD Letters, 12(1), 1-12.

Chicago
Nur Syahirah Wahid, Mohd Ezad Hafidz Hafidzuddin, Norihan Md Arifin, Mustafa Turkyilmazoglu and Nor Aliza Abd Rahmin.”Magnetohydrodynamic (MHD) Slip Darcy Flow of Viscoelastic Fluid Over A Stretching Sheet and Heat Transfer with Thermal Radiation and Viscous Dissipation.” CFD Letters. 12, no. 1 (2020): 1-12.

Harvard
Nur Syahirah, W., Mohd Ezad Hafidz, H., Norihan, M.A., Mustafa, T., and Nor Aliza, A.R., 2020. Magnetohydrodynamic (MHD) Slip Darcy Flow of Viscoelastic Fluid Over A Stretching Sheet and Heat Transfer with Thermal Radiation and Viscous Dissipation. CFD Letters 12(1), pp. 1-12.

Vancouver
Nur Syahirah W, Mohd Ezad Hafidz H, Norihan MA, Mustafa T, Nor Aliza AR. Magnetohydrodynamic (MHD) Slip Darcy Flow of Viscoelastic Fluid Over A Stretching Sheet and Heat Transfer with Thermal Radiation and Viscous Dissipation. CFD Letters. 2020;12(1): 1-12.

REFERENCES

[1] Mukhopadhyay, Swati. “Slip effects on MHD boundary layer flow over an exponentially stretching sheet with suction/blowing and thermal radiation.” Ain Shams Engineering Journal 4, no. 3 (2013): 485-491.
[2] Rajagopal, Kumbakonam R., T. Y. Na, and A. S. Gupta. “Flow of a viscoelastic fluid over a stretching sheet.” Rheologica Acta 23, no. 2 (1984): 213-215.
[3] Andersson, H. I. “MHD flow of a viscoelastic fluid past a stretching surface.” Acta Mechanica 95, no. 1-4 (1992): 227-230.
[4] Ariel, P. D. “MHD flow of a viscoelastic fluid past a stretching sheet with suction.” Acta mechanica 105, no. 1-4 (1994): 49-56.
[5] Datti, P. S., K. V. Prasad, M. Subhas Abel, and Ambuja Joshi. “MHD visco-elastic fluid flow over a non-isothermal stretching sheet.” International Journal of Engineering Science 42, no. 8-9 (2004): 935-946.
[6] Liu, I-Chung. “Flow and heat transfer of an electrically conducting fluid of second grade in a porous medium over a stretching sheet subject to a transverse magnetic field.” International Journal of Non-Linear Mechanics 40, no. 4 (2005): 465-474.
[7] Khan, Sujit Kumar, and Emmanuel Sanjayanand. “Viscoelastic boundary layer flow and heat transfer over an exponential stretching sheet.” International Journal of Heat and Mass Transfer 48, no. 8 (2005): 1534-1542.
[8] Cortell, Rafael. “A note on flow and heat transfer of a viscoelastic fluid over a stretching sheet.” International Journal of Non-Linear Mechanics 41, no. 1 (2006): 78-85.
[9] Ariel, P. D., T. Hayat, and S. Asghar. “The flow of an elastico-viscous fluid past a stretching sheet with partial slip.” Acta Mechanica 187, no. 1-4 (2006): 29-35.
[10] Khan, Sujit Kumar. “Heat transfer in a viscoelastic fluid flow over a stretching surface with heat source/sink, suction/blowing and radiation.” International Journal of Heat and Mass Transfer 49, no. 3-4 (2006): 628-639.
[11] Hayat, T., Z. Abbas, M. Sajid, and S. Asghar. “The influence of thermal radiation on MHD flow of a second grade fluid.” International Journal of Heat and Mass Transfer 50, no. 5-6 (2007): 931-941.
[12] Abel, M. Subhas, P. G. Siddheshwar, and Mahantesh M. Nandeppanavar. “Heat transfer in a viscoelastic boundary layer flow over a stretching sheet with viscous dissipation and non-uniform heat source.” International Journal of Heat and Mass Transfer 50, no. 5-6 (2007): 960-966.
[13] Abel, M. Subhas, and N. Mahesha. “Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation.” Applied Mathematical Modelling 32, no. 10 (2008): 1965-1983.
[14] Chen, Chien-Hsin. “On the analytic solution of MHD flow and heat transfer for two types of viscoelastic fluid over a stretching sheet with energy dissipation, internal heat source and thermal radiation.” International Journal of Heat and Mass Transfer 53, no. 19-20 (2010): 4264-4273.
[15] Turkyilmazoglu, M. “Multiple solutions of heat and mass transfer of MHD slip flow for the viscoelastic fluid over a stretching sheet.” International Journal of Thermal Sciences 50, no. 11 (2011): 2264-2276.
[16] Raftari, Behrouz, and Kuppalapalle Vajravelu. “Homotopy analysis method for MHD viscoelastic fluid flow and heat transfer in a channel with a stretching wall.” Communications in nonlinear science and numerical simulation 17, no. 11 (2012): 4149-4162.
[17] Turkyilmazoglu, Mustafa. “Multiple analytic solutions of heat and mass transfer of magnetohydrodynamic slip flow for two types of viscoelastic fluids over a stretching surface.” Journal of Heat Transfer 134, no. 7 (2012): 071701.
[18] Nayak, Manoj Kumar, Gauranga Charan Dash, and Lambodar Prased Singh. “Heat and mass transfer effects on MHD viscoelastic fluid over a stretching sheet through porous medium in presence of chemical reaction.” Propulsion and Power Research 5, no. 1 (2016): 70-80.
[19] Fagbade, A. I., B. O. Falodun, and A. J. Omowaye. “MHD natural convection flow of viscoelastic fluid over an accelerating permeable surface with thermal radiation and heat source or sink: spectral homotopy analysis approach.” Ain Shams Engineering Journal 9, no. 4 (2018): 1029-1041.
[20] Nadeem, Sohail, Shafiq Ahmad, and Noor Muhammad. “Cattaneo-Christov flux in the flow of a viscoelastic fluid in the presence of Newtonian heating.” Journal of Molecular Liquids 237 (2017): 180-184.
[21] Chen, Xuehui, Weidong Yang, Xinru Zhang, and Fawang Liu. “Unsteady boundary layer flow of viscoelastic MHD fluid with a double fractional Maxwell model.” Applied Mathematics Letters 95 (2019): 143-149.
[22] Gudekote, Manjunatha, and Rajashekhar Choudhari. “Slip effects on peristaltic transport of Casson fluid in an inclined elastic tube with porous walls.” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 43, no. 1 (2018): 67-80.
[23] Bhat, Ashwini, and Nagaraj N. Katagi. “Analysis of Stagnation Point flow of an Incompressible Viscous Fluid between Porous Plates with Velocity Slip.” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 48, no. 1 (2018): 40-52.
[24] Choudhari, Rajashekhar, Manjunatha Gudekote, Hanumesh Vaidya, and Kerehalli Vinayaka Prasad. “Peristaltic flow of Herschel-Bulkley fluid in an elastic tube with slip at porous walls.” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 52, no. 1 (2018): 63-75.
[25] Brewster, M. Quinn. Thermal radiative transfer and properties. John Wiley & Sons, 1992.
[26] Crane, Lawrence J. “Flow past a stretching plate.” Zeitschrift für angewandte Mathematik und Physik ZAMP 21, no. 4 (1970): 645-647.
[27] Ebaid, Abdelhalim, and Hibah S. Alhawiti. “New application for the generalized incomplete gamma function in the heat transfer of nanofluids via two transformations.” Journal of Computational Engineering 2015, (2015): 1-6.
[28] Aly, Emad H., and Abdelhalim Ebaid. “Exact analysis for the effect of heat transfer on MHD and radiation Marangoni boundary layer nanofluid flow past a surface embedded in a porous medium.” Journal of Molecular Liquids 215 (2016): 625-639.