This study examines mixed convection heat transfer in a lid-driven triangular cavity containing three heated horizontal finned cylinders immersed in power-law fluids. The cavity features inclined sidewalls maintained at a cold temperature, while the top adiabatic lid moves at a uniform velocity. The objective is to analyze the fluid’s behavior and its influence on flow structure, heat transfer, and drag coefficients under varying conditions, including lid speed, thermal buoyancy intensity, and fluid viscosity characterized by the power-law index. The study employs numerical simulations based on the finite volume method to solve the governing equations, with the fluid’s rheological behavior modeled using Ostwald’s law. Results show that the heat transfer rate increases with Re, Ri, and n, with the bottom cylinder (C3) exhibiting the highest rate due to strong buoyancy and focused recirculation zones. The drag coefficient (CD) decreases with Re but varies significantly with n, leading to higher drag forces for shear-thinning fluids. These findings provide new insights into optimizing heat transfer and drag in non-Newtonian fluid systems.
Aboud ED, Rashid HK, Jassim HM, Ahmed SY, Khafaji SOW, Hamzah HK, et al. MHD effect on mixed convection of annulus circular enclosure filled with Non-Newtonian nanofluid. Heliyon. 2020;6(4).
2.
Al-Rashed A, Kalidasan K, Kolsi L, Velkennedy R, Aydi A, Husseinh A, et al. Mixed Convection and Entropy Generation in a Nanofluid filled Cubical Open Cavity with a Central Isothermal Block. International Journal of Mechanical Sciences. 2018;135:362–75.
3.
Barnoon P, Toghraie D, Dehkordi R, Abed H. MHD mixed convection and entropy generation in a lid-driven cavity with rotating cylinders filled by a nanofluid using two phase mixture model. Journal of Magnetism and Magnetic Materials. 2019;483:224–48.
4.
Bilal S, Khan N, Fatima I, Riaz A, Ansari G, Alhazmi S, et al. Mixed convective heat transfer in a power-law fluid in a square enclosure: Higher order finite element solutions. Frontiers in Physics. 2022;10:1079641.
5.
Bilal S, Khan N, Riaz A, Alyami M, Tag El-Din E. Measure and evaluate the hydrothermal flow of a Newtonian fluid in homogeneous permeable media equipped with a fin: A numerical approach. Frontiers in Physics. 2022;10:1032437.
6.
Çolak E, Ekici O, Oztop H. Mixed convection in a lid-driven cavity with partially heated porous block. International Communications in Heat and Mass Transfer. 2021;126:105450.
7.
Gangawane K, Gupta S. Mixed convection characteristics in rectangular enclosure containing heated elliptical block: Effect of direction of moving wall. International Journal of Thermal Sciences. 2018;130:100–15.
8.
Gangawane K, Oztop H. Mixed convection in the semi-circular lid-driven cavity with heated curved wall subjugated to constant heat flux for non-Newtonian power-law fluids. International Communications in Heat and Mass Transfer. 2020;114:104563.
9.
Gangawane K, Oztop H. Mixed convection in the heated semi-circular lid-driven cavity for non-Newtonian power-law fluids: Effect of presence and shape of the block. Chinese Journal of Chemical Engineering. 2020;28:1225–40.
10.
Gangawane K, Oztop H, Abu-Hamdeh N. Mixed convection characteristic in a lid-driven cavity containing heated triangular block: Effect of location and size of block. International Journal of Heat and Mass Transfer. 2018;124:860–75.
11.
Garmroodi M, Ahmadpour A, Talati F. MHD mixed convection of nanofluids in the presence of multiple rotating cylinders in different configurations: a two-phase numerical study. International Journal of Mechanical Sciences. 2019;150:247–64.
12.
Helmaoui M, Laidoudi H, Belbachir A, Ayad A, Ghaniam A. Forced convection heat transfer from a pair of circular cylinders confined in ventilated enclosure. Diffusion Foundations. 2020;26:104–11.
13.
Hussain S, Jamal M, Geridonmez B. Impact of power law fluid and magnetic field on double diffusive mixed convection in staggered porous cavity considering Dufour and Soret effects. International Communications in Heat and Mass Transfer. 2021;121:105075.
14.
Hussain S, Oztop H. Impact of inclined magnetic field and power law fluid on double diffusive mixed convection in lid-driven curvilinear cavity. International Communications in Heat and Mass Transfer. 2021;127:105549.
15.
Khanafer K, Aithal S, Vafai K. Mixed convection heat transfer in a differentially heated cavity with two rotating cylinders. International Journal of Thermal Sciences. 2019;135:117–32.
16.
Kolsi L, Hussain S, Ghachem K, Jamal M, Maatki C. Double Diffusive Natural Convection in a Square Cavity Filled with a Porous Media and a Power Law Fluid Separated by a Wavy Interface. Mathematics. 2022;10:1060.
17.
Kuehn T, Goldstein R. An experimental and theoretical study of natural convection in the annulus between horizontal concentric cylinders. J Fluid Mech. 1976;74:695–719.
18.
Kumar S, Gangawane K, Oztop H. A numerical study of mixed convection in a two-sided lid-driven tall cavity containing a heated triangular block for non-Newtonian power-law fluids. Heat Transfer. 2021;10:1–24.
19.
Laidoudi H, Ameur H. Investigation of the mixed convection of power-law fluids between two horizontal concentric cylinders: Effect of various operating conditions. Thermal Science and Engineering Progress. 2020;20:100731.
20.
Lamsaadi M, Naimi M, Hasnaoui M. Natural convection of non-Newtonian power law fluids in a shallow horizontal rectangular cavity uniformly heated from below. Heat Mass Transfer. 2005;41:239–49.
21.
Lamsaadi M, Naimi M, Hasnaoui M, Mamou M. Natural Convection in a Vertical Rectangular Cavity Filled with a Non-Newtonian Power Law Fluid and Subjected to a Horizontal Temperature Gradient. Numerical Heat Transfer, Part A. 2006;49:969–90.
22.
Mahmood F, Chowdhury T, Hasan M. Fluid-structure interaction induced mixed convection characteristics in a lid-driven square cavity with non-Newtonian power law fluids. International Journal of Thermofluids. 2024;22:100687.
23.
Malkeson S, Alshaaili S, Chakraborty N. Numerical investigation of steady state laminar natural convection of power-law fluids in side cooled trapezoidal enclosures heated from the bottom. Numerical Heat Transfer, Part A: Applications. 2023;83:770–89.
24.
Manchanda M, Gangawane K. Mixed convection in a two-sided lid-driven cavity containing heated triangular block for non-Newtonian power-law fluids. International Journal of Mechanical Sciences. 2018;144:235–48.
25.
Matin MH, Khan WA. Laminar natural convection of non-Newtonian power-law fluids between concentric circular cylinders. International Communications in Heat and Mass Transfer. 2013;43:112–21.
26.
Matin MH, Pop I, Khanchezar S. Natural convection of power-law fluid between two square eccentric duct annuli. J Non-Newtonian Fluid Mech. 2013;197:11–23.
27.
Mishra L, Baranwal A, Chhabra R. Laminar forced convection in power-law fluids from two heated cylinders in a square duct. International Journal of Heat and Mass Transfer. 2017;113:589–612.
28.
Mohebbi R, Delouei A, Jamali A, Izadi M, Mohamad A. Pore-scale simulation of non-Newtonian power-law fluid flow and forced convection in partially porous media: Thermal lattice Boltzmann method. Physica A. 2019;525:642–56.
29.
Mokeddem M, Laidoudi H. Mixed convection between hot and cold cylinders in square chamber: study the direction and value of the rotational speed. Acta Mechanica Malaysia. 2022;5:01–5.
30.
Prasad D, Chaitanya G, Raju R. Double diffusive effects on mixed convection Casson fluid flow past a wavy inclined plate in presence of Darcian porous medium. Results in Engineering. 2019;3:100019.
31.
Rashid U, Shahzad H, Lu D, Wang X, Majeed A. Non-Newtonian MHD double diffusive natural convection flow and heat transfer in a crown enclosure. Case Studies in Thermal Engineering. 2023;41:102541.
32.
Rehman M, Hafeez M, Krawczuk M. Computational analysis of power-law fluids for convective heat transfer in permeable enclosures using Darcy effects. Journal of Thermal Analysis and Calorimetry. 2024;149:6349–60.
33.
Rehman N, Mahmood R, Majeed A, Khan I, Mohamed A. Multigrid simulations of non-Newtonian fluid flow and heat transfer in a ventilated square cavity with mixed convection and baffles. Scientific Reports. 2024;14:6694.
34.
Roy P, Chowdhury S, Raj M, Islam M, Saha S. Forced, natural and mixed convection of Non-Newtonian fluid flows in a square chamber with moving lid and discrete bottom heating. Results in Engineering. 2023;17:100939.
35.
Selimefendigil F, Chamkha A. Magnetohydrodynamics mixed convection in a power law nanofluid-filled triangular cavity with an opening using Tiwari and Das’ nanofluid model. Journal of Thermal Analysis and Calorimetry. 2019;135:419–36.
36.
Selimefendigil F, Öztop H. Mixed convection of nanofluids in a three dimensional cavity with two adiabatic inner rotating cylinders. International Journal of Heat and Mass Transfer. 2018;117:331–43.
37.
Thohura S, Molla M, Sarker M, Paul M. Study of mixed convection flow of power-law fluids in a skewed lid-driven cavity. Heat Transfer. 2021;10:1–30.
38.
Vijayan A, Gangawane K. Mixed convection in a tall lid-driven cavity with a triangular heat source for non-Newtonian power-law fluids. Journal of Thermal Analysis and Calorimetry. 2020;146:937–54.
39.
Zhou W, Yan Y, Liu X, Chen H, Liu B. Lattice Boltzmann simulation of mixed convection of nanofluid with different heat sources in a double lid-driven cavity. International Communications in Heat and Mass Transfer. 2018;97:39–46.
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