Buongiorno Model for Hydromagnetic Convective Flow of Nanofluid over an Inclined Stretching Surface with Variable Stream Conditions
Buongiorno model for hydromagnetic convective flow of nanofluid
Keywords:
Magneto-nanofluid, Velocity ratio parameter, Brownian motion, Thermophoresis, SuctionAbstract
This work is focused on the numerical investigation of steady mixed convective magneto nanofluid flow due to an inclined stretching surface. The transport model employed includes the effects of Brownian and thermophoresis diffusion using Buongiorno model. Two types of nanofluids are considered such as Copper-water and Alumina-water nanofluids. The governing boundary layer equations of the problem are formulated and transformed into a system of nonlinear ordinary differential equations. The obtained equations are then solved numerically using MATLAB. An analysis has been carried out to elucidate the effects of governing parameters corresponding to various physical conditions. Respective numerical results for the longitudinal velocity, temperature and nanoparticle volume fraction are displayed graphically and the skin friction coefficient and reduced Nusselt number are presented in tabular form. Comparisons with previously published work have been done and are found to be in excellent agreement.
References
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23. PVSN Murthy, A Sutraghar, Ch RamReddy. Double diffusive free convection flow past an inclined plate embedded in a Non-Darcy Porous Medium saturated with a Nanofluid. Transp Porous Med 2013; 98(3): 553-564. 24. SP Anjali Devi, P Suriyakumar. Numerical investigation of mixed convective hydromagnetic nonlinear nanofluid flow past an inclined plate, AIP Conference Proceedings 2013; 1557: 281-285.
25. EH Aly, A Ebaid. New Analytical and Numerical Solutions for Mixed Convection Boundary-Layer Nanofluid Flow along an Inclined Plate Embedded in a Porous Medium, Journal of Applied Mathematics, 2013.
26. AM Olanrewaju, OD Makinde. On Boundary layer stagnation point flow of a nanofluid over a permeable at surface with Newtonian heating. Chemical Engineering Communications 2013; 200: 836-852.
27. W Ibrahim, S Bandari, MN Mahantesh, MHD Stagnation point flow and heat transfer due to nanofluid towards a stretching sheet. International journal of Heat and mass transfer 2013; 56(1&2): 1-9.
28. AV Kuznetsov, DA Nield. The Cheng-Minkowycz problem for natural convec-tive boundary layer flow in a porous medium saturated by a nanofluid: A revised model. International Journal of Heat and Mass Transfer 2013; 65: 682-865.
29. AV Kuznetsov, DA Nield. Natural convective boundary-layer flow of a nanofluid past a vertical plate: A revised model. International Journal of Thermal Sciences 2014; 77: 126-129.
2. TC Chiam. Hydromagnetic flow over a surface stretching with a power-law velocity. Int. J. Eng. Sci 1995; 33(3), 429-435.
3. TR Mahapatra, AS Gupta. Heat transfer in stagnation-point flow towards a stretching sheet, Heat and mass transfer. Applied Mathematics and Mechanics 2011; 38(4): 517-521.
4. VJ Bansod, The effects of blowing and suction on double diffusion by mixed convection over inclined permeable surfaces. Transport in porous media 2005; 60(3): 301-317.
5. A.Ishak, R.Nazar, I. Pop, Mixed convective boundary layers in the stagnation-point flow toward a stretching vertical sheet. Meccanica 2006; 41(5): 509-518.
6. SP Anjali Devi, M Thiyagarajan. Steady nonlinear hydromagnetic flow and heat transfer over a stretching surface of variable temperature, Heat and Mass Transfer 2006; 42(8): 671-677.
7. EM Abo-Eldahab, MA El-Aziz, AM Salem et al. Hall current effect on MHD mixed convection flow from an inclined continuously stretching surface with blowing/suction and internal heat generation/absorption. Appl Math Model 2007; 31(9): 1829-1846.
8. O Aydin, A Kaya. MHD Mixed convective heat transfer flow about an inclined plate. Heat Mass Transfer 2009; 46: 129136.
9. A Ishak, R Nazar, I Pop. MHD Mixed Convection boundary layer flow towards a stretching vertical surface with constant wall temperature. International Journal of heat and mass transfer 2010; 53(23&24): 5330-5334.
10. GK Ramesh, BJ Gireesha, CS Bagewadi. Heat Transfer in MHD Dusty Boundary layer flow over an Inclined Stretching Sheet with Non-Uniform Heat Source/ Sink. Advances in Mathematical Physics 2012.
11. SUS Choi. Enhancing thermal conductivity of fluids with nanoparticles, Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers 1995; 66: 99-105.
12. SP Jang, SUS Choi. Role of Brownian motion in the enhanced thermal con-ductivity of nanofluids. Applied Physics Letters 2004; 84(21): 4316-4318.
13. J Buongiorno. Convective transport in nanofluids. Journal of Heat trans-fer 2006; 128(3): 240-250.
14. HF Oztop, E Abu-Nada. Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids. International Journal of Heat and Fluid flow 2008; 29(5): 1326-1336.
15. AK Santra, S Sen, N Chakraborty. Study of heat transfer due to laminar flow of copper water nanofluid through two isothermally heated parallel plates. International Journal of Thermal Sciences 2009; 48(2): 391-400. 16. E. Abu-Nada, H.F Oztop, Effects of inclination angle on natural convection in enclosures filled with Cu-water nanofluid. Int. J. Heat Fluid flow 2009; 30(4): 669-678.
17. WA Khan, Pop I, Boundary-layer flow of a nanofluid past a stretching sheet. International Journal of Heat and Mass Transfer 2010; 53(11&12): 2477-2483
18. AV Kuznetsov, DA Nield. Natural convective boundary-layer flow of a nanofluid past a vertical plate. International Journal of Thermal Sciences 2010; 49: 243-247.
19. SP Anjali Devi, Julie Andrews. Laminar boundary layer flow of nanofluid over a flat plate. International Journal of Applied Mathematics and Mechanics 2011; 7(6): 52-71.
20. M Mustafa, T Hayat, I Pop et al. Stagnation-point flow of a nanofluid towards a stretching sheet. International journal of Heat and Mass Transfer 2011; 54(25&26): 5588-5594.
21. NC Rosca, T Grosan, I Pop. Stagnation-point flow and mass transfer with chemical reaction past a permeable stretching/ shrinking sheet in a nanofluid. Sains Malaysiana 2012; 41(10): 1271-1279.
22. P Rana, R Bhargava, OA Beg. Numerical solution for mixed convection bound-ary layer flow of a nanofluid along an inclined plate embedded in a porous medium. Comput. Math. Appl 2012; 64(9); 2816-2832.
23. PVSN Murthy, A Sutraghar, Ch RamReddy. Double diffusive free convection flow past an inclined plate embedded in a Non-Darcy Porous Medium saturated with a Nanofluid. Transp Porous Med 2013; 98(3): 553-564. 24. SP Anjali Devi, P Suriyakumar. Numerical investigation of mixed convective hydromagnetic nonlinear nanofluid flow past an inclined plate, AIP Conference Proceedings 2013; 1557: 281-285.
25. EH Aly, A Ebaid. New Analytical and Numerical Solutions for Mixed Convection Boundary-Layer Nanofluid Flow along an Inclined Plate Embedded in a Porous Medium, Journal of Applied Mathematics, 2013.
26. AM Olanrewaju, OD Makinde. On Boundary layer stagnation point flow of a nanofluid over a permeable at surface with Newtonian heating. Chemical Engineering Communications 2013; 200: 836-852.
27. W Ibrahim, S Bandari, MN Mahantesh, MHD Stagnation point flow and heat transfer due to nanofluid towards a stretching sheet. International journal of Heat and mass transfer 2013; 56(1&2): 1-9.
28. AV Kuznetsov, DA Nield. The Cheng-Minkowycz problem for natural convec-tive boundary layer flow in a porous medium saturated by a nanofluid: A revised model. International Journal of Heat and Mass Transfer 2013; 65: 682-865.
29. AV Kuznetsov, DA Nield. Natural convective boundary-layer flow of a nanofluid past a vertical plate: A revised model. International Journal of Thermal Sciences 2014; 77: 126-129.
Published
2019-04-22
Issue
Section
Research Article
