Numerical analysis of heat and mass transfer along a stretching wedge surface

  • M. Ali
  • M. A. Alim
  • R. Nasrin Dept. of Math, BUET
  • M. S. Alam


In this work, the effects of dimensionless parameters on the velocity field, thermal field and nanoparticle concentration have been analyzed. In this respect, the magnetohydrodynamic (MHD) boundary layer nanofluid flow along a moving wedge is considered. Therefore, a similarity solution has been derived like Falkner Skan solution and identified the point of inflexion. So the governing partial differential equations transform into ordinary differential equations by using the similarity transformation. These ordinary differential equations are numerically solved using fourth order RungeKutta method along with shooting technique. The present results have been shown graphically and in tabular form. From the graph, the results indicate that the velocity increases with increasing values of pressure gradient, magnetic induction and velocity ratio. The temperature decreases for velocity ratio, Brownian motion and Prandtl number but opposite result arises for increasing values of thermophoresis. The nanoparticle concentration decreases with an increase in pressure gradient, Brownian motion and Lewis number, but increases for thermophoresis. Besides, the solution of nanoparticle concentration exists in the case of Brownian motion is less than 0.2, thermophoresis is less than 0.14 and lewis number is greater than 1.0. Finally, for validity and accuracy the present results have been compared with previous work and found to be in good agreement. 


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Adekeye T., Adegun I., Okekunle P., Hussein A. K., Oyedepo S., Adetiba E. and Fayomi O., (2017): Numerical analysis of the effects of selected geometrical parameters and fluid properties on MHD natural convection flow in an inclined elliptic porous enclosure with localized heating, Heat Transfer-Asian Research, Vol. 46, pp. 261-293.

Ahmed S., Hussein A. K., Mohammed H., and Sivasankaran S., (2014): Boundary layer flow and heat transfer due to permeable stretching tube in the presence of heat source/sink utilizing nanofluids, Applied Mathematics and Computation, Vol. 238, pp. 149-162.

Ahmed S., Hussein A. K., Mohammed H., Adegun I., Zhang X., Kolsi L., Hasanpour A., and Sivasankaran S., (2014): Viscous dissipation and radiation effects on MHD natural convection in a square enclosure filled with a porous medium, Nuclear Engineering and Design, Vol. 266, pp. 34-42.

Ashwini G., Eswara A. T., (2015): Unsteady MHD decelerating flow past a wedge with internal heat generation / absorption, International Journal of Mathematics and Computational Science, Vol. 1, pp. 13-26.

Bharathi M., Devi, Gangadhar K., and Kumar P. S., (2017): Effect of viscous dissipation on power law - fluid past a permeable stretching sheet in a porous media, International Journal of Advanced Research in Computer Science, Vol. 8, pp. 113-118.

Buongiorno J., (2006): Convective transport in nanofluids, Journal of Heat Transfer, Vol. 128, pp. 240–250.

Choi S. U. S., (1995): Enhancing thermal conductivity of fluids with nanoparticles, International Mechanical Engineering Congress and Exposition, San Francisco, Vol. 66, USA, ASME, FED 231/MD, pp. 99–105.

Chand R., Rana G. C., and Hussein A. K., (2015): On the onset of thermal Instability in a low Prandtl number nanofluid layer in a porous medium, Journal of Applied Fluid Mechanics, Vol. 8, pp. 265-272.

Falana F., Ojewale O. A., and Adeboje T. B., (2016): Effect of Brownian motion and thermophoresis on a nonlinearly stretching permeable sheet in a nanofluid, Advances in Nanoparticles, Vol. 5, pp. 123-134.

Haile E., and Shankar B., (2015): Boundary-layer flow of nanofluids over a moving surface in the presence of thermal radiation, viscous dissipation and chemical reaction, Applications and Applied Mathematics, Vol. 10, pp. 952-969.

Hayat T., Majid H., Nadeem, and Meslou S., (2011): Falkner-Skan wedge flow of a power-law fluid with mixed convection and porous medium, Computers & Fluids, Vol. 49, pp. 22–28.

Hussein A. K., Ashorynejad H., Shikholeslami M., and Sivasankaran S., (2014): Lattice Boltzmann simulation of natural convection heat transfer in an open enclosure filled with Cu–water nanofluid in a presence of magnetic field, Nuclear Engineering and Design, Vol. 268, pp. 10-17.

Khan W. A., Pop I., (2013): Boundary layer flow past a wedge moving in a nanofluid, Mathematical Problem and Engineering, Vol. 1, 7 pages.

Khan U., Ahmed N., Mohyud-Din S. T., and Bin-Mohsin B., (2017): Nonlinear radiation effects on MHD flow of nanofluid over a nonlinearly stretching/shrinking wedge, Neural Computing & Applications, Vol. 28, pp. 2041-2050.

Kandasamy R., and Mohamad R., (2015): Radiative heat transfer on nanofluids flow over a porous convective surface in the presence of magnetic field, Journal of Applied Mechanical Engineering, Vol. 4, pp. 1-7.

Mohammadi F., Hosseini M. M, Dehgahn A., Maalek Ghaini F. M., (2012): Numerical solutions of Falkner-Skan equation with heat transfer, Studies in Nonlinear Science, Vol. 3, pp. 86-93.

Nasrin R.,(2011): Finite element simulation of hydromagnetic convective flow in an obstructed cavity, International Communications in Heat and Mass Transfer, Vol. 38, No. 5, pp. 625 - 632.

Nasrin R., and Alim M. A., (2012): Soret and Dufour effects on double diffusive natural convection in a chamber using nanofluid, International Journal of Heat & Technology, Vol. 30, No. 1, pp. 111-120.

Nasrin R., and Alim M. A., (2012): Control volume finite element simulation of MHD forced and natural convection in a vertical channel with a heat-generating pipe, International Journal of Heat and Mass Transfer, Vol. 55, No. 11-12, pp. 2813-2821.

Nasrin R., and Alim M. A., (2014): Semi-empirical relation for forced convective analysis through a solar collector, Solar Energy, Vol. 105, pp. 455-467.

Nachtsheim P. R. and Swigert P., (1965): Satisfaction of the asymptotic boundary conditions in numerical solution of the systems of non-linear equations of boundary layer type, Ph.D. Thesis, NASA TN D- 3004, Washington, D.C.

Parvin S., Nasrin R., Alim M. A., and Hossain M. A., (2012): Double diffusive natural convection in a partially heated enclosure using nanofluid, Heat Transfer-Asian Research, Vol. 41, No. 6, pp. 484-497.

Shaw S., Kameswaran P. K., and Sibanda P., (2016): Effects of slip on nonlinear convection in nanofluid flow on stretching surfaces, Boundary value Problems, Vol. 2016.

Srinivasacharya D., Mendu U., and Venumadhav K., (2015): MHD boundary layer flow of a nanofluid past a wedge, Procedia Engineering, Vol. 127, pp.1064 – 1070.

Ullah I., Khan I., and Shafie S., (2017): Heat and mass transfer in unsteady MHD slip flow of Casson fluid over a moving wedge embedded in a porous medium in the presence of chemical reaction: Numerical solutions using Keller-Box method, Numerical Methods for Partial Differential Equations, Vol. 2017, pp. 1-25.

White F. M., (1991): Viscous Fluid Flow, 2nd edn. McGraw-Hill, New York, NY, USA.

Yousif M. A., Mahmood B. A., Rashidi M. M., (2017): Thermal boundary layer analysis of nanofluid flow over a stretching flat plate in different transpiration conditions by using DTM-Pad´e method, Journal of Mathematics and Computer Science, Vol. 17, pp. 84-95.

Yacob A. N., Ishak A., and Pop I., (2011): Falkner-Skan problem for a static or moving wedge in nanofluids, International Journal of Thermal Science, Vol. 50, pp. 133-139.

How to Cite
Ali, M., Alim, M., Nasrin, R., & Alam, M. (2017). Numerical analysis of heat and mass transfer along a stretching wedge surface. Journal of Naval Architecture and Marine Engineering, 14(2), 135-144.