Numerical Solution of Natural Convection Nanofluid Flow over a Non-Isothermal Vertical Plate

Article Sidebar

PDF
Published: Sep 15, 2023
Keywords:
Brownian motion, Nanofluid, Natural Convection, Non-isothermal, Power law exponent, Thermophoresis

Main Article Content

Mahendra Pratap Pal
Department of Mathematics, Jaypee Institute of Information Technology, Noida, India
Lokendra Kumar
Department of Mathematics, Jaypee Institute of Information Technology, Noida, India

Abstract

The natural convection nanofluid flow over a non-isothermal vertical plate is studied numerically. The effects of Brownian motion and thermophoresis parameters are incorporated into models used for nanofluids. The non-linear partial differential equations and boundary conditions are transformed into a set of nonlinear ordinally differential equations using the similarity transformations. The resulting system of equations are solved numerically by using shooting techniques. This solution depends on the Prandtl number (Pr), Buoyancy ratio (Nr), Brownian- motion (Nb), thermophoresis parameter (Nt), Lewis number (Le), and power-law exponent (λ). For different values of λ, Le and Pr, the influence of reduced Nusselt number with Nr, Nb and Nt is represented by correlation formulas and compared with previously published results and found to be in better agreement.

Article Details

How to Cite
1.
Pal MP, Kumar L. Numerical Solution of Natural Convection Nanofluid Flow over a Non-Isothermal Vertical Plate . J. Int. Acad. Phys. Sci. [Internet]. 2023 Sep. 15 [cited 2024 May 18];27(3):237-4. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/895
Issue
Vol. 27 No. 3 (2023): Table of Content
Section
Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

References

S.U.S. Choi; Enhancing thermal conductivity of fluids with nanoparticles, developments and applications of non-Newtonian flow, ASME FED, 231/MD 66, (1995), 99-105.

H. Masuda, A. Ebata, K. Teramae and N. Hishinuma; Alternation of thermal conductivity and viscosity of liquid by dispersing ultra-fine particle, Netsu Bussei, 7 (1993), 227-233.

J. Buongiorno and W. Hu; Nanofluid coolants for advanced nuclear power plant, Proceedings of ICAPP'05, Seoul, (2005), 15-19.

X.Q. Wang and A.S. Mujumdar; Heat transfer characteristics of nanofluids: a review, Int. J. Thermal Sci., 46 (2007), 1-19.

S.K. Das and S.U.S. Choi; A review of heat transfer in nanofluids, Adv. Heat Transfer, 41 (2009), 81-197.

E. Schmidt and W. Beckmann; Das Temperature-und Geschwinddikeitsfeld von einer warme abgebenden senkrechten Platte bei naturlicher Konvection, Die Versuche und ihre Ergibnisse, Forcsh, Ingenieurwes, 1 (1930), 391-406.

K.R. Khair and A. Bejan; Mass transfer to natural convection boundary layer flow driven by heat transfer, ASME J. Heat Transfer, 107 (1985), 979-981.

W.A. Khan and A. Aziz; Natural convection flow of a nanofluid over a vertical plate with uniform surface heat flux, International Journal of Thermal Science, 50 (2011), 1207-1214.

A. Aziz and W.A. Khan; Natural convective boundary layer flow of a nanofluid past a convectively heated vertical plate, International Journal of Thermal Science, 52 (2012), 83-90.

A.V. Kuznetsov and D.A. Nield; Natural convective boundary layer flow of a nanofluid past a vertical plate, International Journal of Thermal Science, 49 (2010), 243-247.

A.V. Kuznetsov and D.A. Nield; Natural convective boundary layer flow of a nanofluid past a vertical plate: A revised model, International Journal of Thermal Science, 77 (2014), 126-129.

R.S.R. Gorla and A. Chamkha; Natural convective boundary layer flow over a nonisothermal vertical plate embedded in a porous medium saturated with a nanofluid, Nanoscale and Microscale Thermophysical Engineering, 15 (2011), 81-95.

S. Bagai and C. Nishad;,“Free convection in a non-Newtonian fluid along a horizontal plate embedded in porous media with internal heat generation, International Communications in Heat and Mass Transfer, 39 (2012), 537-540.

M.I. Khan, M.W.A. Khan, A. Alsaedi and T. Hayat; Entropy generation optimization inflow of non-Newtonian nanomaterial with binary chemical reaction and Arrhenius activation energy, Phys. A Stat. Mech. its Appl., 538 (2020), 122806-122828.

M. Ibrahim and M.I. Khan; Mathematical modelling and analysis of SWCNT-Water and MWCNT-Water flow over a stretchable sheet, Comput. Methods Programs Biomed., 187 (2020), 105222-105239.

D. Pal and G. Mandal; Double diffusive magnetohydrodynamic heat and mass transfer of nanofluids over a nonlinear stretching/shrinking sheet with viscous-Ohmic dissipation and thermal radiation, Propuls. Power Res., 6 (2020), 58-69.

I. Rashid, M. Sagheer and S. Hussain; Entropy formation analysis of MHD boundary layer flow of nanofluid over a porous shrinking wall, Phys. A Stat. Mech. its Appl., 536 (2019), 122608-122625.

J. Buongiorno; Convective transport in nanofluid, ASME J. Heat Transfer, 126 (2006), 240-250.

K.R. Rajagopal, M. Ruzicka and A.R. Srinivasa; On the Oberbeck-Boussinesq Approximation, Mathematical Models & Method in Applied Sciences, 6(8) (1996), 1157-1167.