MODELING AND ANALYSIS OF MAGNETIZED CHEMICALLY REACTIVE FLUID FLOW PAST OVER POROUS STRETCHED SHEET
Main Article Content
Abstract
The aim of this article to inspect the effect of nonlinear thermal radiation, heat joule, viscous dissipation and magnetic field on viscoelastic second grade fluid. Flow is generated due to stretching of sheet. Flow features are studied considering hydrodynamic boundary conditions. Chemical reaction on the surface is further accounted. The flow governing nonlinear partial system of differential equations is obtained incorporating boundary layer assumptions. The dimensional model is made dimensionless by taking suitable transformations and then tackled via HAM for convergent series solution. Effects of flow controlling parameters on velocity, concentration, temperature, local skin friction coefficient, Sherwood number and Nusselt numbers are discussed by plotting graphs. Main observations are listed at the end.
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
Papers accepted for publication become copyright of the Editorial Office, Journal of Mountain Area Research, Karakoram International University Gilgit, Gilgit-15100, Pakistan and authors will be asked to sign a copyright transfer agreement. Articles cannot be published until a signed copyright transfer agreement form has been received.
The work published in this journal is licensed under a Creative Commons Attribution 4.0 International License.
References
[2] Kumari, M., H.S. Takhar, and G. Nath, MHD flow and heat transfer over a stretching surface with prescribed wall temperature or heat flux. Wärme und Stoffübertragung, (1990). 25(6): p. 331-336.
[3] Andersson, H.I., MHD flow of a viscoelastic fluid past a stretching surface. Acta Mechanica, (1992). 95(1): p.227-230.
[4] Bhatti, M.M., et al., Entropy Generation on MHD Eyring–Powell Nanofluid through a Permeable Stretching Surface. Entropy, (2016). 18(6).
[5] Attia, H.A., Unsteady MHD flow near a rotating porous disk with uniform suction or injection. Fluid Dynamics Research, (1998). 23(5): p. 283-290.
[6] Afify, A.A., MHD free convective flow and mass transfer over a stretching sheet with chemical reaction. Heat and Mass Transfer, (2004). 40(6): p. 495-500.
[7] Vajravelu, K., K.V. Prasad, and S.R. Santhi, Axisymmetric magnetohydrodynamic (MHD) flow and heat transfer at a non-isothermal stretching cylinder. Applied Mathematics and Computation, (2012). 219(8): p. 3993-4005.
[8] Received: 03 November 2016. Revised/Accepted: 29 December (2016).
[9] Nadeem, S., R.U. Haq, and C. Lee, MHD boundary layer flow over an unsteady shrinking sheet: analytical and numerical approach. Journal of the Brazilian Society of Mechanical Sciences and Engineering, (2015). 37(4): p. 1339-1346.
[10] . Sheikholeslami, M., et al., Heat transfer and turbulent simulation of nanomaterial due to compound turbulator including irreversibility analysis. International Journal of Heat and Mass Transfer, 2019. 137: p. (1290-1300).
[11] Abel, S., K.V. Prasad, and A. Mahaboob, Buoyancy force and thermal radiation effects in MHD boundary layer visco-elastic fluid flow over continuously moving stretching surface. International Journal of Thermal Sciences, (2005). 44(5): p. 465-476.
[12] .Ghosh, N.C., B.C. Ghosh, and L. Debnath, The hydromagnetic flow of a dusty visco-elastic fluid between two infinite parallel plates. Computers & Mathematics with Applications, (2000), 39: p. 103–116.
[13] Datti, P.S., et al., MHD visco-elastic fluid flow over a non-isothermal stretching sheet. International Journal of Engineering Science, (2004), 42(8): p. 935-946.
[14] Bég, O.A., et al., Free convection heat and mass transfer from an isothermal sphere to a micropolar regime with Soret/Dufour effects. International Journal of Heat and Mass Transfer, (2011), 54(1): p. 9-18.
[15] Kamel, M.H., Unsteady MHD convection through porous medium with combined heat and mass transfer with heat source/sink. Energy Conversion and Management, (2001), 42(4): p. 393-405.
[16] Chen, C.-H., Effects of magnetic field and suction/injection on convection heat transfer of non-Newtonian power-law fluids past a power-law stretched sheet with surface heat flux. International Journal of Thermal Sciences, (2008), 47(7): p. 954-961.
[17] Malik, M.Y., et al., Magnetohydrodynamic flow of Sisko fluid over a stretching cylinder with variable thermal conductivity: A numerical study. AIP Advances, (2016), 6(2): p. 025316.
[18] Liao, S., On the homotopy analysis method for nonlinear problems. Applied Mathematics and Computation, (2004), 147(2): p. 499-513.
[19] Khan, M. and A. Shahzad, On axisymmetric flow of Sisko fluid over a radially stretching sheet. International Journal of Non-Linear Mechanics, (2012), 47(9): p. 999-1007.
[20] Hayat, T., et al., Joule heating and viscous dissipation in flow of nanomaterial by a rotating disk. International Communications in Heat and Mass Transfer, (2017), 89: p. 190-197.
[21] Rashidi, M.M., E. Momoniat, and B. Rostami, Analytic Approximate Solutions for MHD Boundary-Layer Viscoelastic Fluid Flow over Continuously Moving Stretching Surface by Homotopy Analysis Method with Two Auxiliary Parameters. Journal of Applied Mathematics, (2012), 2012: p. 780415.
[22] . Abbas, Z., et al., Mixed convection in the stagnation-point flow of a Maxwell fluid towards a vertical stretching surface. Nonlinear Analysis: Real World Applications, 2010. 11(4): p. 3218-3228. (2003) 3,154,026, May 15.