Volume 60 | Number 4 | Year 2018 | Article Id. IJMTT-V60P539 | DOI : https://doi.org/10.14445/22315373/IJMTT-V60P539
This paper reports the magnetohydrodynamic dissipative fluid flow towards a stretching/shrinking surface with Joule heating, non-uniform heat source/sink, Brownian motion, thermophoresis and cross diffusion effects. The transformed governing equations are explored numerically by shooting technique. The consequences for different pertinent parameters on the flow, thermal and concentration distributions are explained with the assistance of tables and graphs. The wall friction, local Sherwood and reduced Nusselt number is also computed and analyzed. The solutions are exhibited for Casson fluid case. It is found that an increase in the Prandtl number enhances the heat and mass transfer rate.
[1] L. J. Crane. Flow past a stretching plate. J. Appl. Math. Phys.(ZAMP),.Vol. 21, pp.645-647, (1970).
[2] Ananth, P.A.Dinesh, V. Sugunamma, and N. Sandeep. Effect of Nonlinear Thermal Radiation on Stagnation Flow of a Casson Fluid towards a stretching sheet. Industrial Engineering Letters, ISSN 2224-6096(Paper) ISSN 2225-0581 (online),Vol. 5, No.8, (2015).
[3] N.Sandeep and C. Sulochana. Dual solutions for unsteady mixed convection flow of MHD micropolar fluid over a stretching/shrinking sheet with non-uniform heat source/sink. International Journal of Engineering Science and Technology, Vol. 18, No.4 , pp. 738-745 ,(2015).
[4] N.Sandeep, C. Sulochana and S.P. Samrat. Thermal radiation effect on MHD nanofluid flow over a stretching sheet. Int. Journal of Engg. Research in Africa,Vol. l, No.23, pp. 89-102, (2016).
[5] M. Jayachandra Babu and N. Sandeep. Effect of nonlinear thermal radiation on non-aligned bio-convective stagnation point flow of a magnetic-nanofluid over a stretching sheet.Vol. 55, No.3, pp. 1931-1939 ,(2016) .
[6] J.V. Ramana Reddy, V. Sugunamma and N.Sandeep. Effect of frictional heating on radiative ferrofluid over a slendering stretching sheet with aligned magnetic field. The European Physical Journal Plus, Vol.132, No.1, pp.7, (2017).
[7] N.Sandeep and M. S. Kumar. Heat and Mass Transfer in Nanofluid flow over an inclined stretchingsheet with volume Fraction of Dust and Nanoparticles. Journal of Applied Fluid Mechanics, Vol. 9, No.5, pp. 2205-2215, (2016).
[8] M.Satish Kumar, Naramgari Sandeep and B. Rushi Kumar. Dual solutions for heat and mass transfer in MHD bio-Convective flow over a stretching/shrinking surface with suction/injection. Int. Journal of Engineering Research in Africa,Vol. 21, pp. 84-101, (2015).
[9] N. Sandeep and C. Sulochana. Momentumand heat transfer behavior of Jeffrey. Maxwell and Oldroyd-B nanofluids past a stretching surface with non-uniform heat source/sink. Ain Shams Engineering Journal, ( 2016).
[10] M.Jayachandra Babu and N. Sandeep. 3D MHD slip flow of a nanofluid over a slendering stretching sheet with thermophoresis and Brownian motion effects. Journal of Molecular Liquids, Vol. 222, pp. 1003-1009, (2016).
[11] M.Jayachandra Babu and N. Sandeep. MHD non-Newtonian fluid flow over a slendering stretching sheet in the presence of Cross-diffusion effects.Alexandria Engineering Journal, Vol.55, No..3, pp. 2193-2201, (2016).
[12] C.Sulochana and N. Sandeep. Dual solutions for radiative MHD forced convective flow of a nanofluid over a slendering stretching sheet in porous medium, Vol.12, No.2 , pp. 115-124, (2015).
[13] Sandeep Naramgari and C. Sulochana. Dual solutions of radiative MHD nanofluid flow over an exponentially stretching sheet with heat generation/absorption. Appl Nanosci, Vol. 6, pp. 131-139, (2016) .
[14] Kalidas Das, Pinaki Ranjan Durai and Prabir Kumar Kundu. Nanofluid flow over an unsteady stretching surface in presence of thermal radiation. Alexandria Engineering Journal, Vol.53, pp. 737-745 ,(2014).
[15] O.Anwar Beg, M.S. Khan, Ifsana Karim, Md. M. Alam and M. Ferdows. Explicit Numerical study of unsteady hydromagnetic mixed convective nanofluid flow from an exponentially stretching sheet in porous media. Appl. Nanosci , Vol. 4, pp. 943-957, (2014).
[16] Y.Khan, A. Hussain and N. Faraz. Unsteady linear viscoelastic fluid model over a stretching/shrinking sheet in the region of stagnation point flows. Scientia Iranica B, Vol.19, No.6, pp. 1541-1549, (2012).
[17] Gnaneswara Reddy Machireddy. Influence of thermal radiation, viscous dissipation and hall current on MHD convection flow over a stretched vertical plate. Ain Shams Engineering Journal, Vol.5, pp. 169-175 (2014).
[18] T.Hayat, M.Waqas, A. Alsaedi, G. Bashir and F. Alzahrani. (MHD) Stretched flow of tangent hyperbolic nanofluid with variable thickness. Journal of Molecular Liquids ,Vol.229, pp. 178-184, (2017).
[19] R.Cortell. Fluid flow and radiative nonlinear heat transfer over a stretching sheet. Journal of King Saud University- Science,Vol. 26, pp.161-167, (2014).
[20] S.Bilal, M.Y. Malik, M. Awais, Khalil-ur-Rehman, Arif. Hussain and I. Khan. Numerical investigation on 2D viscoelastic fluid due to exponentially stretching surface with magnetic effects: an application of non-Fourier flux theory.”Neural Comput and Applic. DOI10.1007/s00521-016-28324.
[21] G.Kumaran, N. Sandeep and M.E. Ali. Computational analysis of magnetohydrodynamic Casson and Maxwell flows over a stretching sheet with cross diffusion. Results on Physics, Vol. 7, pp. 147-155, (2017).
[22] I.L.Animasaun, E. A. Adebile and A.I. Fagbade. Casson fluid flow with variable thermo-physical property along exponentially stretching sheet with suction and exponentially decaying internal heat generation using the homotophy analysis method. Journal of the Nigerian Mathematical Society,Vol. 35, pp. 1-17, (2016).
[23] M. R. Krishnamurthy, B.C. Prasannakumara, B.J. Gireesha and Rama Subba Reddy Gorla. Effect of chemical reaction on MHD boundary layer flow and melting heat transfer of Williamson nanofluid in porous medium. Engg. Sci. and Tech. an Int. J. Vol.19, pp. 53-61, (2016).
[24] M. Kayalvizhi, R.Kalaivanan, N. Vishnu Ganesh, B. Ganga and A.K.Abdul Hakeem. Velocity Slip effectson heat and mass fluxes of MHD viscous-ohmic dissipative flow over a stretching sheet with thermal radiation. Ain Shams Engg. J. Vol.7, pp. 791-797, (2016).
[25] K.Surya Narayana Reddy, M. Sreedhar Babu, S. Vijaya Kumar Varma and N. Bhaskar Reddy. MHD stagnation point flow of a MICROPOLAR Fluid over a stretching surface with heat source/sink, Chemical Reaction and Viscous Dissipation. Int. J. of Engg. Inventions, Vol. 3, No.10 , pp. 15-26, (2014).
[26] M.M.Bhatti and M.M.Rashidi. Effects of thermo-diffusion and thermal radiation on Williamson nanofluid over a porous shrinking/stretching sheet. Journal of Molecular Liquids, Vol. 221, pp. 567-573, (2016).
[27] M.Sathish Kumar, N. Sandeep and B. Rushi Kumar. Free convective heat transfer of MHD dissipative Carreau Nanofluid flow over a stretching sheet. Frontiers in Heat and Mass Transfer, Vol. 8, No.13, (2017).
[28] Tasawar Hayat, Taseer Muhammad, Sabir Ali Shehzad and Ahmed Alsaedi. An analytical solution for MHD Oldroyd-B nanofluid flow induced by a stretching sheet with heat generation/absorption. Int. J. of Thermal Sciences,Vol. 111, pp.274-288, (2017).
[29] Swati Mukhopadhyay, Prativa Ranjan De, Krishnendu Bhattacharyya and G. C. Layek.Casson fluid flow over an unsteady stretching surface. Ain Shams Engg. Journal, Vol.4, pp. 933-938 ,(2013).
[30] K.Bhattacharyya. Dual solutions in boundary layer stagnation-point flow and mass transfer with chemical reaction past a stretching/shrinking sheet.International Communications in Heat and Mass Transfer,Vol. 38, No.7, pp. 917-922, (2011).
[31] G.Sarojamma, B. Vasundhara and K. Vendabai. MHD Casson fluid flow Heat and Mass Transfer in a Vertical Channel with Stretching Walls. International Journal of Scientific and Innovative Mathematical Research (IJSIMR), Vol. 2, No.10, pp. 800-810.,(2014) .
Angeline Kavitha M, Vijayaragavan R, "Magneto Hydro Dynamic Dissipative Flow Over a Stretching/Shrinking Surface with Cross Diffusion and Non-Uniform Heat Source/Sink," International Journal of Mathematics Trends and Technology (IJMTT), vol. 60, no. 4, pp. 263-275, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V60P539