Unsteady MHD flow and heat transfer over a stretching/shrinking permeable sheet with ohmic heating

  • Zaileha Md Ali Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA Shah Alam Selangor, Malaysia
  • Nurulnabila Jamaruddin Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA Shah Alam Selangor, Malaysia
  • Siti Khuzaimah Soid Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA Shah Alam Selangor, Malaysia
  • Nur Aziean Mohd Idris Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA Shah Alam Selangor, Malaysia
  • Md Nizam Udin Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Seremban, Negeri Sembilan, Malaysia
  • Nur Zahidah Ismail Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA Shah Alam Selangor, Malaysia
Keywords: Magnetohydrodynamics, MATLAB softwere

Abstract

The problem of an unsteady magnetohydrodynamics (MHD) and heat transfer over a stretching/shrinking permeable sheet with ohmic heating is studied in this paper.  Using a nonlinear partial differential equations system, the physical problem is modeled and transformed into ordinary differential equations using similarity transformation.  Along with the boundary conditions, the equations are solved numerically using bvp4c in the MATLAB software and a comparison with previous literature shows an excellent agreement.  The effect of suction parameter, unsteady parameter and magnetic parameter in porous plate are discussed.  The results show that the velocity profile and skin friction coefficient increases when suction parameter increases.  Furthermore, the increase in magnetic and unsteady parameters resulted in the increase in the velocity profile and the skin friction coefficient respectively.

Downloads

Download data is not yet available.

References

[1] Mukhopadhyay, S., “MHD boundary layer flow and heat transfer over an exponentially stretching sheet embedded in a thermally stratified medium,” Alexandria Engineering Journal 52, 259-265 (2013).

[2] Gelfand, I. M. & Retakh, V. S., The Gelfand Mathematic Seminars, 1996-1999 (Springer Science & Business Media, 2000) p.37.

[3] Vajravelu, K. & Mukhopadhyay, S. Fluid Flow, Heat and Mass Transfer at Bodies of Different Shapes: Numerical Solutions (Academic Press, 2015) p.7-73.

[4] Farid, M. M., Mathematical Modelling of Food Processing: Contemporary Food Engineering (University of Auckland: CRC Press, 2010) p.659-687.

[5] Soid, S. K., Ishak, A. & Pop, I., “Unsteady MHD flow and heat transfer over a shrinking sheet with ohmic heating,” Chinese Journal of Physics 55(4), 1626-1636 (2017).

[6] Fadi, M. & Shuli, L., “A comprehensive review on applications of ohmic heating (OH),” Renewable and Sustainable Energy Reviews 39, 262 -269 (2014).

[7] Rajaiah, M., Sudhakaraiah, A., Venkatalakshmi, P. & Sivaiah, M., “Unsteady MHD free convective fluid flow past a vertical porous plate with ohmic heating in the presence of suction or injection,” International Journal of Mathematics and Computer Research 2, 428-455 (2014).

[8] Sman, R.G.M.V.D, “Model for electrical conductivity of muscle meat during Ohmic heating,” Journal of Food Engineering 208, 37-47 (2017).

[9] Furtado, G.D.F., Pereira, R.N.C., Vicente, A.A. & Cunha, R.L., “Gold gel-like emulsions of lactoferrin subjected to ohmic heating,” Food Research International 103, 371-379 (2018).

[10] Santosh, C., Sawai, S. & Susheela, C., “MHD flow and heat generation near stagnation point towards a stretching sheet in porous medium,” Applied Mathematical Sciences 9, 369-378 (2015).
Published
2019-12-23
How to Cite
Md Ali, Z., Jamaruddin, N., Soid, S. K., Mohd Idris, N. A., Udin, M. N., & Ismail, N. Z. (2019). Unsteady MHD flow and heat transfer over a stretching/shrinking permeable sheet with ohmic heating. EDUCATUM Journal of Science, Mathematics and Technology, 6(2), 55-61. https://doi.org/10.37134/ejsmt.vol6.2.6.2019