International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

Heat and Mass transfer in MHD Nanofluid over a Stretching Surface along with Viscous Dissipation Effect

K. Govardhan
Department of Mathematics, GITAM University, Hyderabad, India.

G. Narender
Department of Humanities and Sciences, CVR College of Engineering, Hyderabad, India.

G. Sreedhar Sarma
Department of Humanities and Sciences, CVR College of Engineering, Hyderabad, India.


Received on December 24, 2018
Accepted on August 29, 2019


A study of viscous dissipation effect of magnetohydrodynamic nanofluid flow passing over a stretched surface has been analyzed numerically. The formulated highly nonlinear equations for the above-mentioned flow are converted into first order ODEs. Utilizing the shooting technique along with the Adams-Bashforth Moulton Method is used to solve the BVP by using the computational software FORTRAN. The numerical results are computed by choosing different values of the involved physical parameters and compared with the earlier published results. The graphical numerical results of different physical quantities of interest are presented to analyze their dynamics under the varying physical quantities.

Keywords- Adams-Bashforth Moulton method, Thermophoresis, Brownian motion, Viscous dissipation, Nanofluids.


Govardhan, K., Narender, G., & Sarma, G. S. (2020). Heat and Mass transfer in MHD Nanofluid over a Stretching Surface along with Viscous Dissipation Effect. International Journal of Mathematical, Engineering and Management Sciences, 5(2), 343-352.

Conflict of Interest

The author confirms that this article contents have no conflict of interest.


Help by Prof. S. R. Koneru, Retd. Professor, Department of Mathematics, IIT Mumbai in the preparation of this paper is gratefully acknowledged.


Afify, A.A. (2004). MHD free convective flow and mass transfer over a stretching sheet with chemical reaction. Heat and Mass Transfer, 40(6-7), 495-500.

Beg, O.A., Khan, M.S., Karim, I., Alam, M.M., & Ferdows, M. (2014). Explicit numerical study of unsteady hydromagnetic mixed convective nanofluid flow from an exponentially stretching sheet in porous media. Applied Nanoscience, 4(8), 943-957.

Bhatti, M.M., & Rashidi, M.M. (2017). Study of heat and mass transfer with joule heating on magnetohydrodynamic (MHD) peristaltic blood flow under the influence of hall effect. Propulsion and Power Research, 6(3), 177-185.

Buongiorno, J. (2006). Convective transport in nanofluids. Journal of Heat Transfer, 128 (3), 240-250.

Choi, S.U.S., & Eastman, J.A. (1995). Enhancing thermal conductivity of fluids with nanoparticles. (No. ANL/MSD/CP-84938; CONF-951135-29). Argonne National Lab., IL (United States).

Dar, A.A. (2017). Effect of an inclined magnetic field on the flow of nanofluids in a tapered asymmetric porous channel with heat source/sink and chemical reaction. Applied Science and Innovative Research, 1(2), 104-117.

Devi, S.A., & Ganga, B. (2009). Effects of viscous and Joules dissipation on MHD flow, heat and mass transfer past a stretching porous surface embedded in a porous medium. Nonlinear Analysis. Modeling and Control, 14(3), 303-314.

Khan, W.A., & Pop, I. (2011). Flow and heat transfer over a continuously moving at plate in a porous medium. Journal of Heat Transfer, 133(5), 054501(1-5).

Kuznetsov, A.V., & Nield, D.A. (2010). Natural convective boundary-layer flow of a nanofluid past a vertical plate. International Journal of Thermal Sciences, 49(2), 243-247.

Makinde, O.D., & Mutuku, W.N. (2014). Hydromagnetic thermal boundary layer of nanofluids over a convectively heated at plate with viscous dissipation and Ohmic heating. Universitatea Politecnica Bucuresti Scientific Bulletin Series A, 76(2), 181-192.

Mansour, M.A., El-Hakiem, M.A., & El Kabeir, S.M. (2000). Heat and mass transfer in magnetohydrodynamic flow of micropolar fluid on a circular cylinder with uniform heat and mass flux. Journal of Magnetism and Magnetic Materials, 220, 259-270.

Nadeem, S., & Haq, R.U. (2014). Effect of thermal radiation for magnetohydrodynamic boundary layer flow of a nanofluid past a stretching sheet with convective boundary conditions. Journal of Computational and Theoretical Nanoscience, 11(1), 32-40.

Naramgari, S., & Sulochana, C. (2016). Dual solutions of radiative MHD nanofluid flow over an exponentially stretching sheet with heat generation/absorption. Applied Nanoscience, 6(1), 131-139.

Noghrehabadadi, A., Ghalambaz, M., & Ghanbarzadeh, A. (2012). Heat transfer of magnetohydrodynamic viscous nanofluids over an isothermal stretching sheet. Journal of Thermophysics and Heat Transfer, 26(4), 686-689.

Raju, C.S.K., Sandeep, N., Sugunamma, V., Babu, M.J., & Reddy, J.R. (2016). Heat and mass transfer in magnetohydrodynamic casson fluid over an exponentially permeable stretching surface. Engineering Science and Technology, an International Journal, 19(1), 45-52.

Seth, G.S., Nandkeolyar, R., & Ansari, M.S. (2012). Effects of hall current and rotation on unsteady MHD couette flow in the presence of an inclined magnetic field. Journal of Applied Fluid Mechanics, 5(2), 67-74.

Singh, N.K., Kumar, V., & Sharma, G.K. (2016). The effect of inclined magnetic field on unsteady flow past on moving vertical plate with variable temperature. International Journal of Latest Technology in Engineering, Management & Applied Science, 5(2), 2278-2540.

Privacy Policy| Terms & Conditions