Heat and Mass Transfer Analysis for the MHD Forced Convective Flow of a Nanofluid over a Slendering Stretching Sheet with Radiation in Porous Medium

Authors

  • K. Suneetha K. L University Vaddeswaram, Guntur(Dt), 502522, India
  • G. Venkata Ramana Reddy K L University Vaddeswaram, Guntur(Dt), 502522, India
  • S.M. Ibrahim GITAM University, Visakhapatnam, Andhra Pradesh- 530045, India
  • Rama Subba Reddy Gorla Cleveland State University, Cleveland, Ohio 44115, USA

DOI:

https://doi.org/10.15377/2409-5826.2019.06.4

Keywords:

Nano fluid, Thermal radiation, Porous medium, Slendering stretching sheet, MHD, Heat source.

Abstract

 Computational analysis of radiative heat and mass transfer of nanofluid over a slendering stretching sheet in porous medium with uneven heat source and slip effects have been carried out in this article. The transformed equations a of the flow model are solved by the Runge-Kutta scheme coupled with shooting method to depict the dimensionless velocity, temperature, and concentration at the boundary layer. Numerical computations are carried out and discussed for skin friction coefficient and local Nusselt number. We found an excellent agreement of the present results with the existed results under some special conditions. It is also found that the heat transfer performance is high in the presence of velocity slip effect. Dimensionless skin-friction coefficient has decreased for increasing magnetic field, power law-index with velocity slip and wall thickness.

Author Biographies

K. Suneetha, K. L University Vaddeswaram, Guntur(Dt), 502522, India

Research Scholar, Department of Mathematics

G. Venkata Ramana Reddy, K L University Vaddeswaram, Guntur(Dt), 502522, India

Department of Mathematics

S.M. Ibrahim, GITAM University, Visakhapatnam, Andhra Pradesh- 530045, India

Department of Mathematics

Rama Subba Reddy Gorla, Cleveland State University, Cleveland, Ohio 44115, USA

Department of Mechanical Engineering

References

Altan T, Oh S, Gegel H (1979) Metal Forming Fundamentals and Applications. American Society of Metals, Metals Park, USA.

Karwe MV, Jaluria Y (1991) Numerical simulation of thermal transport associated with a continuous moving flat sheetin materials processing, ASME J Heat Transfer 113: 612, 619. https://doi.org/10.1115/1.2910609

Kumaran V, Vanav Kumar A, Pop I(2010) Transition of MHD boundary layer flow past a stretching sheet, Commun. Nonlinear Sci Numer Simulat 15: 300-311. https://doi.org/10.1016/j.cnsns.2009.03.027

Choi SUS (1995) Enhancing thermal conductivity of fluids with nanoparticles, The Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition. San Francisco, USA.

Choi SUS, Zhang ZG, Yu W, Lockwood FE, Grulke EA (2001) Anomalously thermal conductivity enhancement in nanotube suspensions. Appl Phys Lett 79: 2252-2254. https://doi.org/10.1063/1.1408272

Somers EV (1956) Theoretical considerations of combined thermal and mass transfer from a flat plate ASME. J Appl Mech 23: 295-301

Kliegel JR (1959) Laminar free and forced convection heat and mass transfer from a vertical flat plate, Ph.D. thesis, University of California

Merkin JH (1969) The effects of buoyancy forces on the boundary layer flow over a semi-infinite vertical flat plate in a uniform stream. J Fluid Mech 35: 439-450. https://doi.org/10.1017/S0022112069001212

Lloyd JR, Sparrow EM (1970) Combined free and forced convective flow on vertical surfaces. Int J Heat Mass Transfer 13: 434-438. https://doi.org/10.1016/0017-9310(70)90119-5

Kafoussias NG (1990) Local similarity solution for combined free-forced convective and mass transfer flow past a semiinfinite vertical plate. Int J Energy Res 14: 305-309 https://doi.org/10.1002/er.4440140306

Chamkha AJ, Aly AM (2011) MHD free convection flow of a nanofluid past a vertical plate in the presence of heat generation or absorption effects. Chem Eng Comm 198: 425-441. https://doi.org/10.1080/00986445.2010.520232

Hamad MAA (2011) Analytical solution of natural convection flow of a nanofluid over a linearly stretching sheet inthe presence of magnetic field. Int Commu Heat Mass Transfer 38: 487-492. https://doi.org/10.1016/j.icheatmasstransfer.2010.12.042

Hamad MAA, Pop I, Md Ismail AI (2011) Magnetic field effects on free convection flow of a nanofluid past a verticalsemi-infinite flat plate. Nonlinear Anal Real World Applications 12: 1338-1346. https://doi.org/10.1016/j.nonrwa.2010.09.014

Kandasamy R, Loganathan P, Arasu PP(2011) Scaling group transformation for MHD boundary layer flow of a nanofluidpast a vertical stretching surface in the presence of suction/injection. Nuclear Eng Des 241: 2053-2059. https://doi.org/10.1016/j.nucengdes.2011.04.011

Matin MH, Dehsara M, Abbassi A. (2012) Mixed convection MHD flow of nanofluid over a non-linear stretching sheet with effects of viscous dissipation and variable magnetic field. Mechanika 18: 415-423. https://doi.org/10.5755/j01.mech.18.4.2334

Zeeshan A, Ellahi R, Siddiqui AM, Rahman HU (2012), An investigation of porosity and magnetohydrodynamic flow of non-Newtonian nanofluid in coaxial cylinders. Int J Phys Sci 7: 1353-1361. https://doi.org/10.5897/IJPS11.1739

Khan MS, Mahmud MA, Ferdows M. (2011) Finite difference solution of MHD radiative boundary layer flow of a nanofluid past a stretching sheet. In Proceeding of the International Conference of Mechanical Engineering (ICME '11), BUET, Dhaka, Bangladesh.

Khan MS, Mahmud MA, Ferdows M. (2011)MHD radiative boundary layer flow of a nanofluid past a stretching sheet. In Proceeding of the International Conference of Mechanical Engineering and Renewable Energy (ICMERE '11), CUET, Chittagong, Bangladesh.

F. Mabood, F., SM. Ibrahim, SM, and WA. Khan, WA. Framing the Features of Brownian Motion and Thermophoresis on Radiative Nanofluid Flow Past a Rotating Stretching Sheet with Magneto-hydrodynamics, Results in Physics, vol. 6, pp. 1015-1023, 2016. https://doi.org/10.1016/j.rinp.2016.11.046

F. Mabood, F, SM. Ibrahim, SM., MM. Rashidi, MM, MS. Shadloo, MS, and G. Lorenzini, G., Non-uniform Heat Source/Sink and Soret Effects on MHD Non-Darcian Convective Flow Past a Stretching Sheet in Micropolar Fluid with Radiation, International Journal of Heat and Mass Transfer, vol. 93, pp. 674-682, 2016. https://doi.org/10.1016/j.ijheatmasstransfer.2015.10.014

SM. Ibrahim, SM, and K. Suneetha, K. Heat Source and Chemical Effects on MHD Convection Flow Embedded in a Porous Medium with Soret, Viscous and Joules Dissipation, Ain Shams Engineering Journal, vol. 7, pp. 811-818, 2016. https://doi.org/10.1016/j.asej.2015.12.008

Navier, C. (1827). Sur les lois du movement des liquids. Mem. Acad. R. Sci. Inst. Fr 6, 389-440.

Gadel Hak M, The fluid mechanics of micro devices - the free man scholar lecture. Journal of Fluid Engineering, 121, 5 - 33, 1999. https://doi.org/10.1115/1.2822013

Andersson, H. (2002). Slip flow past a stretching surface. Acta Mechanica 158, 121-125. https://doi.org/10.1007/BF01463174

NS. Akbar, ZH. Khan, S. Nadeem, The combined effects of slip and convective boundary conditions on stagnation-point flow of CNT suspended nano fluid over a stretching sheet, Journal of Molecular Liquids, Vol. 196, pp. 21-25, 2014. https://doi.org/10.1016/j.molliq.2014.03.006

SP Anjali Devi and M Prakash, Slip flow effects over hydromagnetic forced convective flow over a slendering stretching sheet, Journal of Applied Fluid Mechanics, Vol. 9, No. 2, pp. 683-692, 2016. https://doi.org/10.18869/acadpub.jafm.68.225.24064

JV Ramana Reddy, V Sugunamma, and N Sandeep, Thermophoresis and Brownian motion effects on unsteady MHD nanofluid flow over a slendering stretching surface with slip effects, Alexandria Engineering Journal, In Press, 2017. https://doi.org/10.1016/j.aej.2017.02.014

RVMSS Kiran Kumar and SVK Varma, Hydromagnetic boundary layer slip flow of nanofluid through porous medium over a slendering stretching sheet, J. Nanofluids, Vol. 6, pp. 852-861, 2017. https://doi.org/10.1166/jon.2017.1386

C. Sulochana and N. Sandeep, Dual solutions for radiative MHD forced convective flow of a nanofluid over a slendering stretching sheet in porous medium, Journal of Naval Architecture and Marine Engineering 12(2015) 115-124. https://doi.org/10.3329/jname.v12i2.23638

CSK Raju, P. Priyadarshini, SM Ibrahim, Multiple slip and cross diffusion on MHD Carreau-Casson fluid over a slendering sheet with non-uniform heat source/sink, Int. J. Appl. Comput. Math DOI 10.1007/s40819-017-0351-3.

G.V.Ramana Reddy, S.Mohammed Ibrahim and V.S. Bhagavan, Similarity transformations of heat and mass transfer effects on steady MHD free convection dissipative fluid flow past an inclined porous surface with chemical reaction, journal of Naval architecture and marine engineering, December-2014, pp.157-166. https://doi.org/10.3329/jname.v11i2.18313

G. Venkata Ramana Reddy, A Chamkha, "Lie group analysis of chemical reaction effects on MHD free convection dissipative fluid flow past an inclined porous surface", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 25 (7), pp. - I.F: 1: 399 ,2015. https://doi.org/10.1108/HFF-08-2014-0270 42 Journal of Advanced Thermal Science Research, 2019, Vol. 6 Suneetha et al.

GV. Ramana Reddy, N. Bhaskar Reddy and R.S.R. Gorla, Radiation and chemical reaction effects on MHD flow along a moving vertical porous plate, International Journal of Applied Mechanics and Engineering. Volume 21, Issue 1, Pages 157- 168, 2016. https://doi.org/10.1515/ijame-2016-0010

GV. Ramana Reddy, N. Bhaskar Reddy and AJ. Chamkha, MHD Mixed Convection Oscillatory Flow over a Vertical Surface in a Porous Medium with Chemical Reaction and Thermal Radiation, Journal of Applied Fluid Mechanics, Vol. 9, No. 3, 2016. https://doi.org/10.18869/acadpub.jafm.68.228.24021

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Published

2019-09-13

How to Cite

1.
K. Suneetha, G. Venkata Ramana Reddy, S.M. Ibrahim, Rama Subba Reddy Gorla. Heat and Mass Transfer Analysis for the MHD Forced Convective Flow of a Nanofluid over a Slendering Stretching Sheet with Radiation in Porous Medium. J. Adv. Therm. Sci. Res. [Internet]. 2019Sep.13 [cited 2021Sep.26];6(1):31-42. Available from: https://www.avantipublishers.com/jms/index.php/jatsr/article/view/878

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