Conjugate Mixed Convection Heat Transfer and Entropy Generation of Cu-Water Nanofluid in an Enclosure with Thick Wavy Bottom Wall

Mixed convection of Cu-water nanofluid in an enclosure
with thick wavy bottom wall has been investigated numerically.
A co-ordinate transformation method is used to transform the
computational domain into an orthogonal co-ordinate system. The
governing equations in the computational domain are solved through
a pressure correction based iterative algorithm. The fluid flow
and heat transfer characteristics are analyzed for a wide range
of Richardson number (0.1 ≤ Ri ≤ 5), nanoparticle volume
concentration (0.0 ≤ ϕ ≤ 0.2), amplitude (0.0 ≤ α ≤ 0.1) of
the wavy thick- bottom wall and the wave number (ω) at a fixed
Reynolds number. Obtained results showed that heat transfer rate
increases remarkably by adding the nanoparticles. Heat transfer rate
is dependent on the wavy wall amplitude and wave number and
decreases with increasing Richardson number for fixed amplitude
and wave number. The Bejan number and the entropy generation are
determined to analyze the thermodynamic optimization of the mixed
convection.




References:
[1] SUS Chol et al. Enhancing thermal conductivity of fluids with
nanoparticles. ASME-Publications-Fed, 231:99-106, 1995.
[2] Yimin Xuan and Qiang Li. Investigation on convective heat transfer and
flow features of nanofluids. Journal of Heat transfer, 125(1):151155, 2003.
[3] Benjamin Gebhart, Yogesh Jaluria, Roop L Mahajan, and Bahgat
Sammakia. Buoyancy-induced flows and transport, 1988.
[4] PN Shankar and MD Deshpande. Fluid mechanics in the driven cavity.
Annual Review of Fluid Mechanics, 32(1):93136, 2000.
[5] Raj Kamal Tiwari and Manab Kumar Das. Heat transfer augmentation in
a two-sided lid-driven differentially heated square cavity utilizing
nanofluids. International Journal of Heat and Mass Transfer,
50(9):20022018, 2007.
[6] Eiyad Abu-Nada and Ali J Chamkha. Mixed convection flow in a
lid-driven inclined square enclosure filled with a nanofluid. European
Journal of Mechanics-B/Fluids, 29(6):472482, 2010.
[7] Rahman, M. M., et al. Heat transfer enhancement of nanofluids
in a lid-driven square enclosure. Numerical Heat Transfer, Part A:
Applications 62.12 (2012): 973-991.
[8] Hossein Khorasanizadeh,Majid Nikfar, and Jafar Amani. Entropy
generation of cuwater nanofluid mixed convection in a cavity. European
Journal of Mechanics-B/Fluids, 37:143152, 2013.
[9] Hakan F Oztop, Changzheng Sun, and Bo Yu. Conjugatemixed convection
heat transfer in a lid-driven enclosure with thick bottom wall. International
Communications in Heat and Mass Transfer, 35(6):779785, 2008.
[10] Ali J Chamkha and Muneer A Ismael. Conjugate heat transfer in a
porous cavity filled with nanofluids and heated by a triangular thick wall.
International Journal of Thermal Sciences, 67:135151, 2013.
[11] RK Nayak, S Bhattacharyya, and I Pop. Numerical study on mixed
convection and entropy generation of cuwater nanofluid in a differentially
heated skewed enclosure. International Journal of Heat and Mass Transfer,
85:620634, 2015. [12] Abdalla Al-Amiri, Khalil Khanafer, Joseph Bull, and Ioan Pop. Effect
of sinusoidal wavy bottom surface on mixed convection heat transfer
in a lid-driven cavity. International Journal of Heat and Mass Transfer,
50(9):17711780, 2007.
[13] Malvandi, A., and D. D. Ganji. Brownian motion and thermophoresis
effects on slip flow of alumina/water nanofluid inside a circular
microchannel in the presence of a magnetic field. International Journal
of Thermal Sciences 84 (2014): 196-206.
[14] Ali J Chamkha and Eiyad Abu-Nada. Mixed convection flow in
single-and double-lid driven square cavities filled with wateral 2
o 3 nanofluid: effect of viscosity models. European Journal of
Mechanics-B/Fluids, 36:8296, 2012.
[15] HC Brinkman. The viscosity of concentrated suspensions and solutions.
The Journal of Chemical Physics, 20(4):571571, 1952.
[16] Adrian Bejan. A study of entropy generation in fundamental convective
heat transfer. ASME J. Heat Transfer, 101(4):718725, 1979.
[17] Adrian Bejan and J Kestin. Entropy generation through heat and fluid
flow. Journal of Applied Mechanics, 50:475, 1983.
[18] Clive Fletcher. Computational techniques for fluid dynamics 2: Specific
techniques for different flow categories. Springer Science & Business
Media, 2012.
[19] T Hayase, JAC Humphrey, and R Greif. A consistently formulated
quick scheme for fast and stable convergence using finite-volume iterative
calculation procedures. Journal of Computational Physics, 98(1):108118,
1992.