Abstract
The study analyzed a non-Newtonian Maxwell fluid flow past a permeable and melting surface with non-linear thermal radiation, inclined magnetic field chemical reaction with higher-order and non-uniform heat sources effects numerically. The governing PDEs are transformed into non-linear ODEs and solved by the shooting technique based on Runge Kutta with MATLAB toolbox. The results are shown graphically and in tabular form. The apprehensions of pictorial and tabular notations are used to analyze the effect of physical parameters governing velocity, energy, and mass. The obtained result thus confirms that an excellent agreement is achieved with those available in the open literature. The outcomes are represented as a magnetic parameter, porosity parameter and Maxwell fluid parameter have reduced the momentum boundary layer thickness.
Similar content being viewed by others
References
Palani, S., Kumar, B.R., Kameswaran, P.K.: Unsteady MHD flow of a UCM fluid over a stretching surface with higher-order chemical reaction. Ain. Shams. Eng. J. 7, 399–408 (2016)
Mukhopadhyay, S., Golam, A.M., Wazed, A.P.: Effects of transpiration on unsteady MHD flow of a UCM fluid passing through a stretching surface in the presence of a first-order chemical reaction. Chin. Phys. B 22, 124701 (2013)
Daba, M., Devaraj, P.: Unsteady hydromagnetic chemically reacting mixed convection flow over a permeable stretching surface with slip and thermal radiation. J. Niger. Math. Soc. 35, 245–256 (2016)
Hayat, T., Qasim, M.: Influence of thermal radiation and Joule heating on MHD flow of a Maxwell fluid in the presence of thermophoresis. Int. J. Heat Mass Transf. 53, 4780–4788 (2010)
Ray, A.K., Anwar Beg, O., Gorla, R.S.R., Murthy, P.V.S.N.: Magneto-bioconvection flow of a Casson thin film with nanoparticles over an unsteady stretching sheet: HAM and GDQ computation. Int. J. Numer. Method Heat Fluid Flow 29(11), 4277–4309 (2019)
Vasu, B., Gorla, R.S.R., Murthy, P.V.S.N.: Entropy analysis of a convective film flow of a power-law fluid with nanoparticles along an inclined plate. J. Appl. Mech. Tech. Phys. 60, 827–841 (2019)
Ray, A.K., Vasu, B., Murthy, P.V.S.N., Gorla, R.S.R.: Non-similar solution of eyring-powell fluid flow and heat transfer with convective boundary condition: homotopy analysis method. Int. J. Appl. Comput. Math 6, 16 (2020)
Abel, M.S., Tawade, J.V., Shinde, J.N.: The effects of MHD flow and heat transfer for the UCM fluid over a stretching surface in presence of thermal radiation. Adv. Math. Phys. 2012, 702681 (2012)
Kumari, M., Nath, G.: Steady mixed convection stagnation-point flow of upper convected Maxwell fluids with magnetic field. Int. J. Non-Linear Mech. 44, 1048–1055 (2009)
Sadeghy, K., Najafi, A.H., Saffaripour, M.: Sakiadis flow of an upper-convected Maxwell fluid. Int. J. Nonlinear Mech. 40, 1220–1228 (2005)
Sadeghy, K., Hajibeygi, H., Taghavi, S.M.: Stagnation point flow of upper convected Maxwell fluids. Int. J. Non-linear Mech. 41, 1242–1247 (2006)
Mukhopadhyay, S.: Heat transfer analysis of the unsteady flow of a Maxwell fluid over a stretching surface in the presence of a heat source/sink”. Chin. Phys. Let. (2011). https://doi.org/10.1088/0256-307X/29/5/054703
Hayat, T., Shehzad, S.A., Alsaedi, A.: MHD three-dimensional flow of Maxwell fluid with variable thermal conductivity and heat source/sink. Int. J. Numer. Method Heat Fluid Flow 24, 1073–1085 (2014)
Mushtaq, A., Abbasbandy, S., Mustafa, M., Hayat, T., Alsaedi, A.: Numerical solution for Sakiadis flow of upper-convected Maxwell fluid using Cattaneo-Christov heat flux model. AIP Adv. 6, 015208 (2016). https://doi.org/10.1063/1.4940133
Hayat, T., Fetecau, C., Sajid, M.: On MHD transient flow of a Maxwell fluid in a porous medium and rotating frame. Phys. Lett. A 372, 1639–1644 (2008)
Hayat, T., Abbas, Z., Sajid, M.: Series solution for the upper convected Maxwell fluid over a porous stretching plate. Phys. Lett. A 358, 396–403 (2006)
Noor, N.F.M.: Analysis for MHD flow of a Maxwell fluid past a vertical stretching sheet in the presence of thermophoresis and chemical reaction. World Acad. Sci. Eng. Technol. 64, 1019–1023 (2012)
Fetecau, C., Fetecau, C.: A new exact solution for the flow of a Maxwell fluid past an infinite plate. Int. J. Non-linear Mech. 38, 423–427 (2003)
Motsa, S.S., Hayat, T., Aldossary, O.M.: MHD flow of upper convected Maxwell fluid over porous stretching sheet using successive Taylor series linearization method. Appl. Math. Mech. 33(8), 975–990 (2012)
Vasu, B., Ram Reddy, C., Murthy, P.V.S.N., Gorla, R.S.R.: Entropy generation analysis in nonlinear convection flow of thermally stratified fluid in saturated porous medium with convective boundary condition. ASME J. Heat Transf. 139(9), 091701 (2017)
Abel, M.S., Siddheshwar, P.G., Nandeppanavar, M.M.: Heat transfer in a viscoelastic fluid past a stretching sheet with a non-uniform heat source. Int. J. Heat Mass Transf. 50, 960–966 (2007)
Pantokratoras, A., Fang, T.: Sakiadis flow with nonlinear Rosseland thermal radiation. Phys. Scr. 87(1), 5 (2013)
Cortell, R.: Fluid flow and radiative nonlinear heat transfer over a stretching sheet. J. King Saud Univ. Sci. 26, 161–7 (2014)
Mushtaq, A., Mustafa, M., Hayat, T., Alsaedi, A.: Effect of thermal radiation on the stagnation-point flow of upper convected Maxwellfluid over a stretching sheet. J. Aerosp. Eng. 27, 04014015 (2014)
Mushtaq, A., Mustafa, M., Hayat, T., Alsaedi, A.: Nonlinear radiative heat transfer in the flow of nanofluid due to solar energy. J. Taiwan Inst. Chem. Eng. 45(54), 1176–1183 (2014)
Mukhopadhyay, S., Ranjan, D.P., Layek, G.C.: Heat transfer characteristics for the Maxwell fluid flow past an unsteady stretching permeable surface embedded in a porous medium with thermal radiation. J. Appl. Mech. Tech. Phys. 54(3), 385–396 (2013)
Nadeem, S., Hussain, S.T.: Flow and heat transfer analysis of Williamson nano-fluid. Appl. Nano-sci. Einstein Ann. Phys. 19, 286 (2013)
Khan, W.A., Pop, I.: Boundary-layer flow of a nanofluid past a stretching sheet. Int. J Heat Mass Transf. 53, 2477–2483 (2010)
Gorla, R.S.R., Sidawi, I.: Free convection on a vertical stretching surface with suction and blowing. Appl. Sci Res. 52, 247–257 (1994)
Wang, Y.: Free convection on a vertical stretching surface. J.. Appl. Math. Mech. 69, 418–420 (1986)
Narayana, K.L., Gangadhar, K., Subhakar, M.J.: Effect of viscous dissipation on heat transfer of magneto-Williamson nano fluid. IOSR-JM 11(4), 25–37 (2015)
Andersson, H.I., Hansen, O.R., Holmedal, B.: Diffusion of a chemically reactive species from a stretching sheet. Int. J. Heat Mass Transf. 37, 659–664 (1994)
Prasad, K.V., Sujatha, A., Vajravelu, K., Pop, I.: MHD flow and heat transfer of a UCM fluid over a stretching surface with variable thermos-physical properties. Meccanica 47, 1425–1439 (2012)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Dadheech, A., Parmar, A. & Olkha, A. Inclined MHD and Radiative Maxwell Slip Fluid Flow and Heat Transfer due to Permeable Melting Surface with a Non-linear Heat Source. Int. J. Appl. Comput. Math 7, 89 (2021). https://doi.org/10.1007/s40819-021-01021-6
Accepted:
Published:
DOI: https://doi.org/10.1007/s40819-021-01021-6