Chemically radiative dissipative MHD Casson nanofluid flow on a non-linear elongating stretched sheet with numerous slip and convective boundary conditions

Mohammed Sarfaraz Hussain, S Mohammed Ibrahim

Abstract


The flow of a Casson nanofluid across a nonlinear stretching surface with a velocity slip and a convective boundary condition is investigated in this work in the magnetohydrodynamic (MHD) domain. This technique emphasizes a variety of effects, including chemical reaction, viscosity dissipation, and velocity ratio. In this study, Brownian motion and thermophoresis are also illustrated. It is assumed that suction exists while a magnetic field is uniform. The governing nonlinear partial differential equations are converted into a set of nonlinear ordinary differential equations using the required similarity transformations, and the Runge-Kutta-Fehlberg fourth-fifth method is then used to solve the system. The updated results are fairly similar to the earlier ones. The graphs and tables examine how various variables affect the speeds, temperatures, concentrations of substances, skin friction values, Sherwood numbers and Nusselt numbers.

Keywords


Stagnation point; Slip conditions; Casson nanofluid; Radiation; Chemical reaction; MHD.

Full Text:

PDF

References


S. U. S. Choi, Enhancing thermal conductivity of fluids with nanoparticles, The Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, CA, ASME, FED, 231, 99-105, 1995.

J. Buongiorno, Convective transport in nanofluids, Journal of Heat Transfer, 128, 240-250, 2006.

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

M. Mustafa, T. Hayat, I. Pop, S. Asghar and S. Obaidat, Stagnation-point flow of a nanofluid towards a stretching sheet, International Journal of Heat and Mass Transfer, 54, 5588-5594, 2011.

W. Ibrahim, B. Shankar and M. M. Nandeppanavar, MHD stagnation point flow and heat transfer due to nanofluid towards a stretching sheet, International Journal of Heat and Mass Transfer, 56, 1-9, 2013.

N. Bachok, A. Ishak and I. Pop, Stagnation-point flow over a stretching/shrinking sheet in a nanofluid, Nanoscale Research Letters, 6, 1-10, 2013.

N. A. Yacob, A. Ishak, I. Pop and K. Vajavelu, Boundary layer flow past a stretching/shrinking surface beneath an external uniform shear flow with a convective surface boundary condition in a nanofluid, Nanaoscale Research Letters, 6, 1-7, 2011.

O. D. Makinde and A. Aziz, Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary conditions, International Journal of Thermal Sciences, 50, 1326-1332, 2011.

P. Sathies Kumar and K. Gangadhar., Effect of chemical reaction on slip flow of MHD Casson fluid over a stretching sheet with heat and mass transfer, Advances in Applied Science Research, 2015, 6(8):205-223.

K Bhattacharyya, MHD stagnation point flow of Casson fluid and heat transfer over a stretching sheet with thermal radiation, Journal of Thermodynamics, Volume 2013 (2013), Article ID 169674, 9 pages.

Benazir J., Sivaraj A, Makinde OD. Unsteady magnetohydrodynamic Casson fluid flow over a vertical cone and flat plate with non-uniform heat source/sink. Int J Eng Res Africa. 2016;21: 69–83.

Nadeem S, Haq RU, Akbar NS, Khan ZH. MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet. Alexandria Eng J. Faculty of Engineering, Alexandria University; 2013;52: 577–582. doi: 10.1016/j.aej.2013.08.005.

U.H. Rizwan, S. Nadeem, Z.H. Khan, T.G. Okedayo, Convective heat transfer and MHD effects on Casson naofluid flow over a shrinking sheet,Cent. Eur. J. Phys, 12 (12) (2014), pp. 862–871.

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

S. A. Shehzadl, T. Hayat, M. Qasim and S. Asghar, Effects of mass transfer on MHD flow of Casson fluid with chemical reaction and suction, Brazilian journal of chemical engineering, 30 (1), 187-195 (2013).

Mukhopadhyay S. Effects of thermal radiation on Casson fluid flow and heat transfer over an unsteady stretching surface subjected to suction/blowing. Chinese Phys B. 2013;22: 114702. doi: 10.1088/1674-1056/22/11/114702.

I. S. Oyelakin, S. Mondal and P. Sibanda, Unsteady Casson nanofluid flow over a stretching sheet with thermal radiation, convective and slip boundary conditions, Alexandria Engineering Journal, 55, 1025-1035, 2016.

Mukhopadhyay, S., Casson fluid flow and heat transfer over a nonlinearly stretching surface, Chin. Phys. B, 22 (2013), 7, pp. 074701, DOI: 10.1088/1674-1056/22/7/074701

Vajravelu, K. (2001) Viscous Flow over a Nonlinearly Stretching Sheet. Applied Mathematics and Computation, 124, 281-288

Cortell, R. (2007) Viscous Flow and Heat Transfer over a Nonlinearly Stretching Sheet. Applied Mathematics and Computation, 184, 864-873. http://dx.doi.org/10.1016/j.amc.2006.06.077

D Pal., N Roy., K Vajravelu, Effects of thermal radiation and Ohmic dissipation on MHD Casson nanofluid flow over a vertical non-linear stretching surface using scaling group, International Journal of Mechanical Sciences 114 (2016) 257–267.

Ullah I, Bhattacharyya K, Shafie S, Khan I (2016) Unsteady MHD Mixed Convection Slip Flow of Casson Fluid over Nonlinearly Stretching Sheet Embedded in a Porous Medium with Chemical Reaction, Thermal Radiation, Heat Generation/Absorption and Convective Boundary Conditions. PLoS ONE 11(10): e0165348. doi:10.1371/journal.pone.0165348

T. Hayat, M. Bilal Ashraf, S. A. Shehzad and A. Alsaedi, Mixed Convection Flow of Casson Nanofluid over a Stretching Sheet with Convectively Heated Chemical Reaction and Heat Source/Sink, Journal of Applied Fluid Mechanics, Vol. 8, No. 4, pp. 803-813, 2015.

Ziabakhsh, Z., Domairry, G., Bararnia, H. and Babazadeh, H., Analytical solution of flow and diffusion of chemically reactive species over a nonlinearly stretching sheet immersed in a porous medium. J. Taiwan Institute Chemical Eng., 41, p. 22 (2010).

Abbas, Z. and Hayat, T. (2011) Stagnation Slip Flow and Heat Transfer over a Nonlinear Stretching Sheet. Numerical Methods for Partial Differential Equations, 27, 302-314.

Hayat, T., Javed, T. and Abbas, Z. (2009) MHD Flow of a Micropolar Fluid near a Stagnation-Point Towards a Non-Linear Stretching Surface. Nonlinear Analysis: Real World Applications, 10, 1514-1526

Mabood, F., Khan, W.A. and Ismail, A.I.M. (2015) MHD Boundary Layer Flow and Heat Transfer of Nanofluids over a Nonlinear Stretching Sheet: A Numerical Study. Journal of Magnetism and Magnetic Materials, 374, 569-576.

Prasad, K.V., Vajravelu, K. and Dattri, P.S. (2010) Mixed Convection Heat Transfer over a Non-Linear Stretching surface with Variable Fluid Properties. International Journal of Non-Linear Mechanics, 45, 320-330. http://dx.doi.org/10.1016/j.ijnonlinmec.2009.12.003

Rana, P. and Bhargava, R. (2012) Flow and Heat Transfer of a Nanofluid over a Nonlinearly Stretching Sheet: A Numerical Study. Communications in Nonlinear Science and Numerical Simulation, 17, 212-226. http://dx.doi.org/10.1016/j.cnsns.2011.05.009

Ghotbi, A.R. (2009) Homotopy Analysis Method for Solving the MHD flow over a Non-Linear Stretching Sheet. Communications in Nonlinear Science and Numerical Simulation, 14, 2653-2663. http://dx.doi.org/10.1016/j.cnsns.2008.08.006

Fanga, T. (2014) Magneto-Hydrodynamic Viscous Flow over a Nonlinearly Moving Surface: Closed-Form Solutions. The European Physical Journal Plus, 129, 92. http://dx.doi.org/10.1140/epjp/i2014-14092-4.

I. S. Oyelakin, S. Mondal and P. Sibanda, Unsteady Casson nanofluid flow over a stretching sheet with thermal radiation, convective and slip boundary conditions, Alexandria Engineering Journal, 55, 1025-1035, 2016.

P. Rana and R. Bhargava, Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: A numerical study, Communications in Nonlinear Science and Numerical Simulation, 17, 212-226, 2012.

F. Mabood, W. A. Khan and A. I. M. Ismail, MHD boundary layer flow and heat transfer of nanofluids over a nonlinear stretching sheet: A numerical study, Journal of Magnetism and Magnetic Materials, 374, 569-576, 2015.




DOI: http://dx.doi.org/10.21533/scjournal.v12i2.261

Refbacks

  • There are currently no refbacks.


Copyright (c) 2023 Mohammed Sarfaraz Hussain

ISSN 2233 -1859

Digital Object Identifier DOI: 10.21533/scjournal

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License