Influence of Dofour and Soret on Eyrig-Powell Nanofluid Flow from A Circular Cylinder with Viscous Dissipation
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The impact of Viscous dissipation on the heat and mass transfer characteristics of an Eyring Powell nanofluid flow past a horizontal circular cylinder is intensively investigated in the presence of Dufour and Soret effects. The free laminar flow is subject to a uniform transverse magnetic field. The continuity, momentum, energy, and concentrations equations are transformed into a nonlinear system of partial differential equations using appropriate non-similarity variables. The transformed system was solved numerically using the fourth order Runge Kutta method. The effect of parameters including Prandtl number, Dufour effect, Soret effect and Schmidt number were studied and presented graphically. Nusselt and Sherwood numbers have also been derived and discussed numerically.
References
-
E. Pohlhausen: Der Warmeaustrausch Zwischen Festen Korpen und Flussigkeiten mit Kleiner Reibung und kleiner Warmeleitung. ZAMM. 1921; 1: 115-121. German.
Google Scholar
1
-
Jaber KK. Effect of Hall currents and variable fluid properties on MHD flow past stretching vertical plate by the presence of radiation. Journal of Applied Mathematics and Physics. 2014; 2: 888-902.
Google Scholar
2
-
Jaber KK. Combined effects of Hall current and variable viscosity on Non-Newtonian MHD flow past a stretching vertical plate. Journal of Advances in Mathematics. 2014; 7(3).
Google Scholar
3
-
Jaber KK. Effect of viscous dissipation and Joule heating on MHD flow of a fluid with variable properties past a stretching vertical plate. European Scientific Journal. 2014; 10(33).
Google Scholar
4
-
Choi SU, Eastman JA. Enhancing thermal conductivity of fluids with nanoparticles. Argonne National Lab., IL (United States). 1995.
Google Scholar
5
-
Partha MK, Murthy PVSN, Sekhar GPR. Soret and Dufour effects in a non-Darcy porous medium. Journal of Heat Transfer. 2006; 128(6): 605–610.
Google Scholar
6
-
Alam MS, Rahman MM. Dufour and Soret effects on mixed convection flow past a vertical porous flat plate with variable suction. Nonlinear Analysis: Modelling and Control. 2006; 11(1): 3-12.
Google Scholar
7
-
Afify A. Effects of thermal-diffusion and diffusion thermo on non-Darcy MHD free convective heat and mass transfer past a vertical isothermal surface embedded in a porous medium with thermal dispersion and temperature—dependent viscosity. Applied Mathematical Modelling. 2007; 31: 1621–1634.
Google Scholar
8
-
Buongiorno J. Convective transport in nano fluids. J Heat Mass Transfer ASME. 2006; 128: 240-50.
Google Scholar
9
-
Kuznetsov AV, Nield DA. Natural convective boundary-layer flow of a nanofluid past a vertical plate. Int J Therm Sci. 2010; 49: 243-7.
Google Scholar
10
-
Kamyar A, Saidur R, Hasanuzzaman M. Application of computational fluid dynamics (cfd) for nanofluids. Int J Heat Mass Transfer. 2012; 55: 15-6.
Google Scholar
11
-
Rana P, Bhargava R. Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet. Commun Nonlinear Sci Numer Simul. 2012; 17: 212-26.
Google Scholar
12
-
Anbuchezhian N, Srinivasan K, Chandrasekaran K, Kandasamy R. Thermophoresis and Brownian motion effects on boundary layer flow of nanofluid in presence of thermal stratification due to solar energy. Appl Math Mech. 2012; 33: 765-80.
Google Scholar
13
-
Alsaedi A, Awais M, Alsaedi A. Effects of heat generation/absorption on stagnation point flow of nanofluid over a surface with convective boundary conditions. Commun Nonlinear Sci Numer Simul. 2012; 17: 4210-23.
Google Scholar
14
-
Goyal M, Bhargava R. Numerical study of thermodiffusion effects on boundary layer flow. Microfluid Nanofluid. 2014; 17: 591-604.
Google Scholar
15
-
Jaber KK. Combined effects of Hall current and variable viscosity on Non-Newtonian MHD flow past a stretching vertical plate. Journal of Advances in Mathematics. 2014; 7(3).
Google Scholar
16
-
Abdul Gaffar S, Ramachandra Prasad V, Keshava Reddy E. Computational study of non-Newtonian eyringpowell fluid from a horizontal circular cylinder with biot number effects. International Journal of Mathematical Archive. 2015; 6(9): 114-132.
Google Scholar
17
-
Abdul Gaffar S, Ramachandra Prasad V, Keshava Reddy E. Non-Newtonian thermal convection from an isothermal sphere with Biot number effects. Int J of Industrial Mathematics. 2016; 8(2).
Google Scholar
18
-
Abdul Gaffar S, Ramachandra Prasad V, Anwar Beg O. Computational study of non-Newtonian Eyring-Powell fluid from a vertical porous plate with Biot number effects. Journal of the Brazilian Society of Mechanical Sciences and Engineering. 2017; 39(7): 2747-2765.
Google Scholar
19
-
Abdul Hakeema AK, Vishnu Ganesha N, Gangab B. Heat transfer of non-Darcy MHD flow of nano-fluid over a stretching/shrinking surface in a thermally stratified medium with second order slip model. Scientia Iranica F. 2015; 22(6): 2766-2784.
Google Scholar
20
-
Saeed A, Tassaddiq A, Khan M, Jawad W, Deebani Z, Shah S. Islam Darcy-Forchheimer MHD hybrid nanofluid Flow and heat transfer analysis over a porous stretching cylinder. Coatings. 2020; 10(4): 391.
Google Scholar
21
-
Chen SS, Leonard R. The axisymmetric boundary layer for a power-law non-Newtonian fluid on a slender cylinder. Chem Eng J. 1972; 3: 88-92.
Google Scholar
22
-
Lin FN, Chern SY. Laminar boundary layer flow of non-Newtonian fluid. Int J Heat Mass Transfer. 1979; 22: 1323-1329.
Google Scholar
23
-
Subba Rao A, Amanulla C, Nagendra N, Beg OA, Kadir A. Hydromagnetic flow and heat transfer in a Williamson Non-Newtonian fluid from a Horizontal circular cylinder with Newtonian Heating. Int J Appl Comput Math. 2017; 3: 3389-3409.
Google Scholar
24
-
Subba Rao A, Nagendra N. Thermal Radiation Effects on Old royd-B Nano fluid from a Stretching Sheet in a non- Darcy porous medium. Global Journal of Pure and Applied Mathematics. 2015; 11(2): 45-49.
Google Scholar
25
-
Nazar R, Amin N, Pop I. Mixed convection boundary-layer flow from a horizontal circular cylinder with a constant surface heat flux. Heat Mass Transf. 2004; 40: 219-227.
Google Scholar
26
-
Ibrahim F, Hamad M. Group method analysis of mixed convection boundary-layer flow of a micropolar fluid near a stagnation point on a horizontal cylinder. Acta Mech. 2006; 181: 65-81.
Google Scholar
27
-
Gorla RSR, El-Kabeir S, Rashad A. Heat transfer in the boundary layer on a stretching circular cylinder in a nanofluid. J Heat Transf. 2011; 25: 183-186.
Google Scholar
28
-
Chamkha AJ, Rashad A, Aly AM. Transient natural convection flow of a nanofluid over a vertical cylinder. Meccanica. 2013; 48: 71-81.
Google Scholar
29
-
Rashad A, Chamkha A, Modather M. Mixed convection boundary-layer flow past a horizontal circular cylinder embedded in a porous medium filled with a nanofluid under convective boundary condition. Comput Fluids. 2013; 86: 380-388.
Google Scholar
30
-
Tlili I, Khan W, Ramadan K. MHD Flow of Nanofluid Flow Across Horizontal Circular Cylinder: Steady Forced Convection. J Nanofluids. 2019; 8: 179-186.
Google Scholar
31
-
Rashad A, Nabwey HA. Gyrotactic mixed bioconvection flow of a nanofluid past a circular cylinder with convective boundary condition. J Taiwan Inst Chem Eng. 2019; 99: 9-17.
Google Scholar
32