Dual solutions for heat and mass transfer in chemically reacting radiative non-Newtonian fluid with aligned magnetic field

Authors

  • J. V. Ramana Reddy Department of Mathematics, Sri Venkateswara University, Tirupati-517502
  • V. Sugunamma Department of Mathematics, Sri Venkateswara University, Tirupati-517502
  • N. Sandeep VIT University

DOI:

https://doi.org/10.3329/jname.v14i1.25907

Keywords:

Aligned magnetic field, Casson fluid, Slendering stretching sheet, Slip flow, Non-uniform heat source/sink, Radiation.

Abstract

Through this paper we investigated the heat and mass transfer in chemically reacting radiative Casson fluid flow over a slandering/flat stretching sheet in a slip flow regime with aligned magnetic field. This study is carried out under the influence of non uniform heat source/sink. First we converted the governing equations of the flow into ordinary differential equations by making use of suitable similarity transformations. The obtained non-linear differential equations are solved numerically using Runge-Kutta based shooting technique. Further, graphical representation has been given to study the effects of various physical parameters on velocity, temperature and concentration fields. Also numerical computations has been carried out to investigate the influence of the physical parameters involved in the flow on skin friction, rate of heat and mass transfer coefficients. Through this investigation, it is observed that aligned angle, Casson parameter and velocity slip parameter have the tendency to control the velocity field. Also heat transfer rate in flat stretching sheet is higher than that of slendering stretching sheet. A good agreement of the present results with the existed literature has been observed. 

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Author Biography

N. Sandeep, VIT University

Professor of Mathematcs

References

Anjalidevi, S. P., and Prakash, J. (2015): Temperature Dependent Viscosity and Thermal Conductivity Effects on Hydromagnetic Flow over a Slendering Stretching Sheet, Journal of Nigerian Mathematical Society, doi:10.1016/j.jnnms.2015.07.002.

Anwar, I., Kasim, A. R. M., Ismail, Z., Salleh, M. Z. And Shafie, S. (2013): Chemical Reaction and Uniform Heat Generation or Absorption Effects on MHD Stagnation-Point Flow of a Nanofluid over a Porous Sheet, World Applied Sciences Journal, Vol. 24, No.10, pp. 1390-1398.

Bujurke, N. M., Biradar, S. N. and Hiremath, P. S. (2015): Heat Transfer in the Boundary Layer of Non-Newtonian Fluid Flow Past a Stretching Sheet. Proceedings of Indian National Science Academy, Vol. 56, No.4, pp. 353-360.

Dessie, H. And Kishan, N. (2014): MHD Effects On Heat Transfer Over Stretching Sheet Embedded in Porous Medium with Variable Viscosity, Viscous Dissipation and Heat Source/Sink. Ain Shams Enineering Journal, Vol. 5, No.5, pp.967-977.

Hayat, T., Asad, S., Mustafa, M. and Alsaedi, A. (2015): MHD Stagnation Point Flow of Jeffrey Fluid over a Convectively Heated Stretching Sheet, Computers & Fluids, Vol. 108, pp. 179-185.

Hayat, T., Asad, S., Mustafa, M. and Alsaedi, A. (2014): Radiation Effects on the Flow of Powell-Eyring Fluid Past an Unsteady Inclined Stretching Sheet with Non Uniform Heat Source/Sink, PLoS One, Vol. 9, No.7, e103214.

Hayat, T., Shehzad, S. A. and Alsaedi, A. (2012): Soret and Dufour Effects on Magneto Hydrodynamics (MHD) Flow of Casson Fluid, Applied Mathematics and Mechanics(English Edition), Vol. 33, No.10, pp. 1301-1312.

Hussain, T., Shehzad, S. A., Alsaedi. A., Hayat, T. and Ramzan, M. (2015): Flow of Casson Nanofluid with Viscous Dissipation and Convective Conditions: A Mathematical model, Journal of Central South University, Vol. 22, No.3, pp. 1132-1140.

Ibrahim, F. S., Hady, F. M., Abdel-Gaied., S. M. And Eid M. R. (2010): Influence of Chemical Reaction on Heat and Mass Transfer of Non-Newtonian Fluid with Yield Stress by Free Convection From Vertical Surface in Porous Medium Considering Soret Effect, Applied Mathematics and Mechanics, Vol. 31, No.6, pp. 675-684.

Khader, M., and Megahed A. M. (2013): Numerical Solution for Boundary Layer Flow due to a Nonlinearly Stretching Sheet with Variable Thickness and Slip Velocity, The European Physical Journal Plus, Vol. 128, No.100, pp.100-108.

Khalid, A., Khan, A. and Shafie S. (2015): Unsteady MHD Free Convection Flow of Casson Fluid Past Over an Oscillating Vertical Plate Embedded in a Porous Medium, Engineering Science and Technology an International Journal, Vol. 18, No.3, pp.309-317.

Khan, J. A., Mustafa, M., Hayat, T. and Alsaedi, A. (2015): Threee Dimensional Flow of Nanofluid over a Non-Linearly Stretching Sheet: An Application to Solar Energy, International Journal of Heat and Mass Transfer Vol. 86, pp. 158-164.

Mahanta, G. and Shaw, S. (2015): 3D Casson Fluid Flow Past a Porous Linearly Stretching Sheet with Convective Boundary Condition, Alexandria Engineering Journal, Vol. 54, No.3, pp. 653-659.

Mandal, I. C. and Mukhopadhyay, S. (2013): Heat Transfer Analysis for Fluid Flow over an Exponentially Stretching Porous Sheet with Surface Heat Flux in Porous Medium, Ain Shams Engineering Journal, Vol. 4, No.1, pp. 103-110.

Mustafa, M., Khan, J. A., Hayat, T. and Alsaedi, A. (2015): Simulations for Maxwell Fluid Flow Past a Convectively Heated Exponentially Stretching Sheet with Nanoparticles, AIP Advances, Vol. 5, No.3, 037133.

Nadeem, S. and Saleem, S. (2014): Mixed Convection Flow of EyringPowell Fluid Along a Rotating Cone, Results in Physics Vol. 4,pp. 5462.

Pal, D. (2011): Combined Effects of Non-Uniform Heat Source/Sink and Thermal Radiation on Heat Transfer over an Unsteady Stretching Permeable Surface, Communications in Nonlinear Science and Numerical Simlation, Vol. 16, No.4, pp. 1890-1904.

Paramanik, S. (2014): Casson Fluid Flow and Heat Transfer Past an Exponentially Porous Stretching Surface in Presence of Thermal Radiation, Ain Shams. Engineering Journal, Vol. 5, No.1, pp. 205-212.

Patil, P. M., Roy, S., and Pop, I.(2013): Chemical Reaction Effects on Unsteady Mixed Convection Boundary Layer Flow Past a Permeable Slender Vertical Cylinder Due to Nonlinearly Stretching Velocity, Chemical Engineering Communications, Vol. 200, No.3, pp. 398-417.

Raju, C. S. K., Sandeep, N., Sugunamma, V., Babu, M. J. and Ramana Reddy, J. V. (2015): Heat and Mass Transfer in Magneto Hydrodynamic Casson Fluid over an Exponentially Permeable Stretching Surface, Engineering Science and Technology an International Journal, doi:org/10.1016/j.jestch.2015.05.010.

Raju, C. S. K., Sandeep, N., Sulochana C. and Sugunamma, V. (2015): Effects of Aligned Magnetic Field and Radiation on the Flow of Ferrofluids over a Flat Plate with Non-Uniform Heat Source/Sink, International Journal of Science and Engineering, Vol. 8, No.2, pp. 151-158.

Rashad, A. M. (2014): Effects of Radiation and Variable Viscosity on Unsteady MHD Flow of a Rotating Fluid From Stretching Surface in Porous Medium, Journal of Egyptian Mathematical Society, Vol. 22, No.1, pp. 134-142.

Sandeep, N. and Sugunamma, V. (2014): Radiation and Inclined Magnetic Field Effects on Unsteady Hydro Magnetic Free Convection Flow Past an Impulsively Moving Vertical Plate in a Porous Medium. Journal of Applied Fluid Mechanics, Vol. 7, No.2, pp. 275-286.

Sandeep, N., Sulochana, C. and Kumar, B. R. (2015: Unsteady MHD Radiative Flow and Heat Transfer of Dusty Nanofluid over an Exponentially Stretching Surface, Engineering Science and Technology an International Journal, http://dx.doi.org/10.1016/j.jestch.2015.06.004.

Singh, R. K. and Singh, A. K. (2012): Effect of Induced Magnetic Field on Natural Convection in Vertical Concentric Annuli. Acta Mechanica Sinica, Vol. 28, No.2, pp. 315-323.

Tripathy, R. S., Dash, G. C., Mishra, S. R. and Bagg, S. (2015): Chemical Reaction Effect on MHD Free Convective Surface over a Moving Vertical Plate Through Porous Medium. Alexandria Engineering Journal, Vol. 54, No.3, pp. 673-679.

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Published

28.06.2017

How to Cite

Reddy, J. V. R., Sugunamma, V., & Sandeep, N. (2017). Dual solutions for heat and mass transfer in chemically reacting radiative non-Newtonian fluid with aligned magnetic field. Journal of Naval Architecture and Marine Engineering, 14(1), 25–38. https://doi.org/10.3329/jname.v14i1.25907

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