Numerical Study of Non-Newtonian Fluid in a Cavity with Corrugated Bottom Wall Using Buongiorno’s Mathematical Model

Authors

  • Hure Zannatul Mawa Department of Civil Engineering, Presidency University, Gulshan 1212, Bangladesh https://orcid.org/0000-0002-1353-5691
  • Md. Abul Kalam Azad Department of Natural Sciences, Islamic University of Technology, Gazipur 1704, Bangladesh https://orcid.org/0000-0002-4598-0001
  • Chowdhury Sadid Alam Department of Mechanical and Production Engineering, Islamic University of Technology, Gazipur 1704, Bangladesh https://orcid.org/0000-0002-7073-6799
  • Md. Mustafizur Rahman Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka 1000, Bangladesh https://orcid.org/0000-0001-7962-7049

DOI:

https://doi.org/10.48048/tis.2022.1588

Keywords:

Non-newtonian nanofluid, Buongiorno’s mathematical model, Mixed convection, Corrugated bottom wall, Power-law fluid

Abstract

A 2-dimensional computational analysis is carried out for a time dependent double diffusive mixed convection flow using non-Newtonian nanofluid. A square-shaped cavity with a corrugated bottom wall is taken with higher temperature and concentration on the top wall. The physical model under consideration is represented by a set of governing equations and solved using the Galerkin weighted residual method based on Finite Element Analysis. Solutions are done for 4 controlling parameters such as Richardson number (Ri = 0.1 - 15), Lewis number (Le = 0.5 - 3), and thermophoresis parameter (Nt = 0.2 - 0.9), and Brownian motion parameter (Nb = 0.2 - 1.0) at different values of τ. For the aforementioned parameters, heat and mass transfer rates, temperature distributions, velocity distributions, and mass distributions in terms of isotherm, streamlines, and iso-concentration are graphically presented. It has been observed that for higher values of Ri, both Nuav and Shav increased while Le decreased for higher values of Nt at any fixed time. It is worth noting that the considered parameter exhibits consistent behavior after a while.

HIGHLIGHTS

  • The numerical analysis of non-Newtonian nanofluid with a corrugated bottom wall and a sliding upward wall is performed using Buongiorno's mathematical model
  • The effect of the Richardson number, Lewis number, Brownian motion, and thermophoresis parameters on different dimensionless time periods is addressed
  • The heat and mass transfer rate is increased as the Richardson number, Lewis number, Brownian motion, and thermophoresis parameters increase in value


GRAPHICAL ABSTRACT 

Downloads

Download data is not yet available.

References

CSK Raju, N Sandeep and A Malvandi. Free convective heat and mass transfer of MHD non-Newtonian nanofluids over a cone in the presence of non-uniform heat source/sink. J. Mol. Liq. 2016; 221, 108-15.

AK Azad, MM Shuvo, RH Kabir, KM Rabbi, MF Karim and MM Rahman. Heat transfer augmentation in a diamond shaped enclosure utilizing CNT-water Nanofluid. Int. Commun. Heat Mass Transf. 2020; 116, 104647.

AR Rahmati, OA Akbari, A Marzban, D Toghraie, R Karimi and F Pourfattah. Simultaneous investigations the effects of non-Newtonian nanofluid flow in different volume fractions of solid nanoparticles with slip and no-slip boundary conditions. Therm. Sci. Eng. Prog. 2018; 5, 263-77.

S Nazari, R Ellahi, MM Sarafraz, MR Safaei, A Asgari and OA Akbari. Numerical study on mixed convection of a non-Newtonian nanofluid with porous media in a two lid-driven square cavity. J. Therm. Anal. Calorim. 2020; 140, 1121-45.

SS Pawar and VK Sunnapwar. Experimental studies on heat transfer to Newtonian and non-Newtonian fluids in helical coils with laminar and turbulent flow. Exp. Therm. Fluid Sci. 2013; 44, 792-804.

Z Li, P Barnoon, D Toghraie, R Balali Dehkordi and M Afrand. Mixed convection of non-Newtonian nanofluid in an H-shaped cavity with cooler and heater cylinders filled by a porous material: Two phase approach. Adv. Powder Technol. 2019; 30, 2666-85.

M Yoshino, Y Hotta, T Hirozane and M Endo. A numerical method for incompressible non-Newtonian fluid flows based on the lattice Boltzmann method. J. Nonnewton. Fluid Mech. 2007; 147, 69-78.

MA Ahmed, MZ Yusoff and NH Shuaib. Effects of geometrical parameters on the flow and heat transfer characteristics in trapezoidal-corrugated channel using nanofluid. Int. Commun. Heat Mass Transf. 2013; 42, 69-74.

M Goodarzi, AD Orazio, A Keshavarzi, S Mousavi and A Karimipour. Develop the nano scale method of lattice Boltzmann to predict the fluid flow and heat transfer of air in the inclined lid driven cavity with a large heat source inside, Two case studies: Pure natural convection & mixed convection. Phys. A Stat. Mech. its Appl. 2018; 509, 210-33.

MM Rahman, R Saidur, S Mekhilef, MB Uddin and A Ahsan. Double-diffusive buoyancy induced flow in a triangular cavity with corrugated bottom wall: Effects of geometrical parameters. Int. Commun. Heat Mass Transf. 2013; 45, 64-74.

SA Rozati, F Montazerifar, OA Akbari, S Hoseinzadeh, V Nikkhah, A Marzban, H Abdolvand and M Goodarzi. Natural convection heat transfer of water/Ag nanofluid inside an elliptical enclosure with different attack angles. Math. Methods Appl. Sci. 2020. https://doi.org/10.1002/mma.7036

A Aghaei, GA Sheikhzadeh, M Goodarzi, H Hasani, H Damirchi and M Afrand. Effect of horizontal and vertical elliptic baffles inside an enclosure on the mixed convection of a MWCNTs-water nanofluid and its entropy generation. Eur. Phys. J. Plus 2018; 133, 486.

M Buren, Y Jian and L Chang. Electromagnetohydrodynamic flow through a microparallel channel with corrugated walls. J. Phys. D. Appl. Phys. 2014; 47, 425501.

D Ebrahimi, S Yousefzadeh, OA Akbari, F Montazerifar, SA Rozati, S Nakhjavani and MR Safaei. Mixed convection heat transfer of a nanofluid in a closed elbow-shaped cavity (CESC). J. Therm. Anal. Calorim. 2021; 144, 2295-316.

AK Azad, MJH Munshi and MM Rahman. Double diffusive mixed convection in a channel with a circular heater. Procedia Eng. 2013; 56, 157-62.

MB Uddin, MM Rahman and MAH Khan. Hydromagnetic double-diffusive unsteady mixed convection in a trapezoidal enclosure due to uniform and nonuniform heating at the bottom side. Numer. Heat Transf. A: Appl. 2015; 68, 205-24.

MM Rashidi, N Kavyani, S Abelman, MJ Uddin and N Freidoonimehr. Double diffusive magnetohydrodynamic (MHD) mixed convective slip flow along a radiating moving vertical flat plate with convective boundary condition. PLoS One. 2014; 9, 109404.

Q Xiong, MV Bozorg, MH Doranehgard, K Hong and G Lorenzini. A CFD investigation of the effect of non-Newtonian behavior of Cu-water nanofluids on their heat transfer and flow friction characteristics. J. Therm. Anal. Calorim. 2020; 139, 2601-21.

L Yang and K Du. A comprehensive review on the natural, forced, and mixed convection of non-Newtonian fluids (nanofluids) inside different cavities. J. Therm. Anal. Calorim. 2020; 140, 2033-54.

M Kole and TK Dey. Effect of aggregation on the viscosity of copper oxide-gear oil nanofluids. Int. J. Therm. Sci. 2011; 50, 1741-7.

MR Safaei, A Karimipour, A Abdollahi and TK Nguyen. The investigation of thermal radiation and free convection heat transfer mechanisms of nanofluid inside a shallow cavity by lattice Boltzmann method. Phys. A: Stat. Mech. Appl. 2018; 509, 515-35.

P Barnoon, D Toghraie, F Eslami and B Mehmandoust. Entropy generation analysis of different nanofluid flows in the space between two concentric horizontal pipes in the presence of magnetic field: Single-phase and two-phase approaches. Comput. Math. Appl. 2019; 77, 662-92.

M Goodarzi, MR Safaei, K Vafaic, G Ahmadi, M Dahari, SN Kazi and N Jomhari. Investigation of nanofluid mixed convection in a shallow cavity using a two-phase mixture model. Int. J. Therm. Sci. 2014; 75, 204-20.

W He, D Toghraie, A Lotfipour, F Pourfattah, A Karimipour and M Afrand. Effect of twisted-tape inserts and nanofluid on flow field and heat transfer characteristics in a tube. Int. Commun. Heat Mass Transf. 2020; 110, 104440.

A Mostafazadeh, D Toghraie, R Mashayekhi and OA Akbari. Effect of radiation on laminar natural convection of nanofluid in a vertical channel with single- and two-phase approaches. J. Therm. Anal. Calorim. 2019; 138, 779-4.

J Buongiorno. Convective transport in nanofluids. J. Heat Transf. 2006; 128, 240-50.

M Sheikholeslami, DD Ganji and MM Rashidi. Magnetic field effect on unsteady nanofluid flow and heat transfer using Buongiorno model. J. Magn. Magn. Mater. 2016; 416, 164-73.

M Sheikholeslami and HB Rokni. Effect of melting heat transfer on nanofluid flow in existence of magnetic field considering Buongiorno Model. Chinese J. Phys. 2017; 55, 1115-26.

GHR Kefayati. Mixed convection of non-Newtonian nanofluid in an enclosure using Buongiorno’s mathematical model. Int. J. Heat Mass Transf. 2017; 108, 1481-500.

Mawa and H Zannatul. Numerical solution of non-newtonian nanofluid using buongiorno’s mathematical model, Available: http://lib.buet.ac.bd:8080/xmlui/handle/123456789/5785, accessed January 2022.

F Selimefendigil and AJ Chamkha. Magnetohydrodynamics mixed convection in a lid-driven cavity having a corrugated bottom wall and filled with a non-newtonian power-law fluid under the influence of an inclined magnetic field. J. Therm. Sci. Eng. Appl. 2016; 8, 021023.

Downloads

Published

2022-11-10

Issue

Vol. 19 No. 23 (2022): Trends in Sciences, Volume 19, Number 23, 1 December 2022

Section

Research Articles

License

Copyright (c) 2022 Walailak University

Creative Commons License

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

Most read articles by the same author(s)