Viscous dissipation and chemical reaction effects on MHD Casson nanofluid over a stretching sheet


  • Kamatam Govardhan GITAM UniversityHyderabad
  • Ganji Narender JNTUHyderabad
  • Gobburu Sreedhar Sarma SV University, Andhra Pradesh, India



Chemical reaction, viscous dissipation, magnetohydrodynamic, stagnation point, nanofluids


A numerical analysis was performed for the mathematical model of boundary layer flow of Casson nanofluids. Heat and mass transfer were analyzed for an incompressible electrically conducting fluid with viscous dissipations and chemical reaction past a stretching sheet. An appropriate set of similarity transformations were used to transform the governing partial differential equations (PDEs) into a system of nonlinear ordinary differential equations (ODEs). The resulting system of ODEs is solved numerically by using shooting method. A detailed discussion on the effects of various physical parameters and heat transfer characteristics was also included.

Author Biographies

Kamatam Govardhan, GITAM UniversityHyderabad



Ganji Narender, JNTUHyderabad



Gobburu Sreedhar Sarma, SV University, Andhra Pradesh, India

Mathematics, Asso.Prof.


Carragher, P., Crane, L. (1982). Heat Transfer on Continuous Stretching Sheet, ZAMM, 10(62), 564-565.

Na, T. Y., and Pop, I. (1996). Unsteady flow past a stretching sheet, Mechanical Research Communications, 23, 413-422.

Pop, S. R. (2004). Radiation effect on the flow near the stagnation point of a stretching sheet, Technische Mechanik, 25, 100-106.

Jang, S. P., and Choi, S. U. S. (2007). Effects of various parameters on nanofluid thermal conductivity, Journal of Heat Transfer, 129, 617-623.

Kuznetsov, A. V., and Nield, D.A. (2009). The Cheng–Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid, International Journal of Heat and Mass Transfer, 52, 5792-5795.

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

Khan, W. A., and Pop, I. (2010). Boundary-layer flow of a nanofluid past a stretching sheet, International Journal of Heat and Mass Transfer, 53, 2477-2483.

Ibrahim, W., and Shankar, B. (2013). MHD boundary layer flow and heat transfer of a nanofluid past a permeable stretching sheet with velocity, thermal and solutal slip boundary conditions. Computers & Fluids, 75, 1–10.

Abo-Eldahab, E. M., and M. A. El Aziz, M. A. (2005). Viscous dissipation and Joule heating effects on MHD-free convection from a vertical plate with power-law variation in surface temperature in the presence of Hall and ion-slip currents, Applied Mathematical Modelling, 29(6), 579-595.

Sahoo, B. (2009). Effects of partial slip, viscous dissipation and Joule heating on von karman flow and heat transfer of an electrically conducting non-Newtonian fluid, Communications in Nonlinear Science and Numerical Simulation, 14(7), 2982-2998.

Sreenivasulu, P., Poornima, T., and Reddy, N. B. (2016). Thermal radiation effects on MHD boundary layer slip flow past a permeable exponential stretching sheet in the presence of Joule heating and viscous dissipation, Journal of Applied Fluid Mechanics, 9(1), 267-278.

Noghrehabadi, A., Pourrajab, R., and Ghalambaz, M. (2012). Effect of partial slip boundary condition on the flow and heat transfer of nanofluids past stretching sheet prescribed constant wall temperature. International Journal of Thermal Sciences, 54, 253-261.

Ibrahim, W., and Makinde, O. D. (2016). Magnetohydrodynamic stagnation point flow and heat transfer of Casson nanofluid past a stretching sheet with slip and convective boundary condition, Journal Aerospace Engineering, 29(2), 04015037(1-11).

Andersson, H. (2002). Slip flow past a stretching surface. Acta Mechanica, 158(1), 121–125.

Hayat, T., Qasim, M., and Mesloub, S. (2011). MHD flow and heat transfer over permeable stretching sheet with slip conditions. International Journal Numerical Methods in Fluids, 66(8), 963–975.