Numerical investigation of mixed convection of non‐Newtonian fluid in a vented square cavity with fixed baffle

Ghurban, Mohammed Abu; Al‐Farhany, Khaled; Olayemi, Olalekan Adebayo

doi:10.1002/htj.22932

Cited by 3 publications

(2 citation statements)

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“…Ghurban et al 16 conducted a quantitative investigation of mixed convective heat transfer in a vented square cavity with a baffle exposed to external non-Newtonian fluids. The effects of square-shaped barriers of length 0.15 and their placement with four distinct scenarios within the square cavity on heat exchange are numerically studied by Hachichi et al 17 using a hybrid Cu-Al 2 O 3 -water nanofluid with a volume percentage of 0.03.…”

Section: Introductionmentioning

confidence: 99%

Heat and mass transfer under MHD mixed convection in a four‐sided lid‐driven square cavity

Patel,

Kumar,

Bagai

2024

Heat Trans

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This paper investigates the heat and mass transfer under magnetohydrodynamic mixed convection flow of a binary gas mixture in a four‐sided lid‐driven square cavity. The enclosure's left wall is sinusoidally heated and acts as a source term, while the right wall functions as a sink. The cavity's horizontal walls are adiabatic and impermeable to mass transfer. The governing equations under Boussinesq approximation and stream function‐vorticity formulation are solved using the alternating‐direction‐implicit scheme, a finite‐difference method. The numerical scheme's consistency and stability are demonstrated using the matrix method. The MATLAB code is written, validated against some existing studies, and used to perform numerical simulations. The numerical solutions are graphically examined by visualizing the streamline, isotherm, and concentration contours for nondimensional parameters, such as Hartmann number , heat absorption or generation coefficient , Richardson number , and buoyancy ratio . The magnetic field modifies the temperature and concentration distribution in the cavity, depending on the convection mode. The magnetic field forces the fluid to stagnate in different regions of the cavity, depending on the mode of convection. It was found that the difference between the maximum and minimum temperature and concentration at the cavity's midpoint increases up to 13 and 10 times, respectively, in the natural convection compared with the forced convection. The average Nusselt number on the vertical walls of the cavity is maximum in natural convection in the absence of a magnetic field but reaches a minimum value at in forced and mixed convection. The average Sherwood number on the cavity's vertical walls decreases with the magnetic field in mixed and natural convection.

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Section: Introductionmentioning

confidence: 99%

Heat and mass transfer under MHD mixed convection in a four‐sided lid‐driven square cavity

Patel,

Kumar,

Bagai

2024

Heat Trans

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“…Flow patterns in natural convection are heavily influenced by both non-Newtonian fluid behavior and fin flexibility, mainly above the fin. Ghurban et al 16 numerically investigate mixed convective heat transfer in an externally vented square cavity occupied with non-Newtonian fluid and equipped with a baffle. Conclusions specifies that the power law index plays a substantial role in determining how strong the convectional transfer is.…”

Section: Introductionmentioning

confidence: 99%

Multigrid simulations of non-Newtonian fluid flow and heat transfer in a ventilated square cavity with mixed convection and baffles

Rehman,

Mahmood,

Majeed

et al. 2024

Sci Rep

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The impact of baffles on a convective heat transfer of a non-Newtonian fluid is experimentally studied within a square cavity. The non-Newtonian fluid is pumped into the cavity through the inlet and subsequently departs from the cavity via the outlet. Given the inherent non-linearity of the model, a numerical technique has been selected as the method for obtaining the outcomes. Primarily, the governing equations within the two-dimensional domain have been discretized using the finite element method. For approximating velocity and pressure, we have employed the reliable $${\mathbb{P}}_{2}$$ P 2 –$${\mathbb{P}}_{1}$$ P 1 finite element pair, while for temperature, we have opted for the quadratic basis. To enhance convergence speed and accuracy, we employ the powerful multigrid approach. This study investigates how key parameters like Richardson number (Ri), Reynolds number (Re), and baffle gap $${{\text{b}}}_{{\text{g}}}$$ b g influence heat transfer within a cavity comprising a non-Newtonian fluid. The baffle gap ($${b}_{g}$$ b g ) has been systematically altered within the range of 0.2–0.6, and for this research, three distinct power law indices have been selected namely: 0.5, 1.0, and 1.5. The primary outcomes of the investigation are illustrated through velocity profiles, streamlines, and isotherm visualizations. Furthermore, the study includes the computation of the $${Nu}_{avg}$$ Nu avg (average Nusselt number) across a range of parameter values. As the Richardson number (Ri) increases, $${Nu}_{avg}$$ Nu avg also rises, indicating that an increase in Ri results in augmented average heat transfer. Making the space between the baffles wider makes heat flow more intense. This, in turn, heats up more fluid within the cavity.

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Mixed convective heat transfer in an open cavity with fins

Abu‐Ghurban,

Al‐Farhany

2024

Heat Trans

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This work numerically explores the mixed convective heat transfer in an open square enclosure containing conducting fins fixed to the heated vertical wall. This kind of work with fins has enormous potential due to its applications in research, engineering, and current industries. Therefore, the current work is highly significant to understand the impact of mixed convection. The external flow enters from the hole in the bottom wall and leaves from the hole in the upper wall. The left vertical wall of the enclosure is heated isothermally, and the fins are attached to the heated walls at a uniform height. Both the upper and lower walls are adiabatic, whereas the right sidewall is at a lower temperature. The non‐dimensional transport equations are resolved by using the finite element method. The study is accomplished for the wide control variables range, such as Reynolds number (50 ≤ Re ≤ 200), Richardson's number (0.1 ≤ Ri ≤ 10), the length of the fins (Lf = 0.2, 0.4, and 0.6), the size of the outlet opening (Wout = 0.1, 0.2, and 0.3), and the gaps in between the outlet hole and left heated wall (S = 0, 0.45, and 0.9). The results show that the thermal performance of the open enclosure is meaningfully affected by the control parameters. The maximum and minimum heat transfer happens when the position of the outlet opening is at the left (S = 0) and right (S = 0.9), respectively. The heat transfer improves by raising the Ri and Re, whereas increasing the fin's length and distance between the outlet opening and left wall reduces heat transfer significantly. The rises 13% with a decrease in the fin's length from 0.6 to 0.2 at Re = 200, S = 0 due to the improvement of the convection on the heated wall. Also, increases by 15% when Ri increases from 1 to 9.

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Numerical investigation of mixed convection of non‐Newtonian fluid in a vented square cavity with fixed baffle

Cited by 3 publications

References 58 publications

Heat and mass transfer under MHD mixed convection in a four‐sided lid‐driven square cavity

Heat and mass transfer under MHD mixed convection in a four‐sided lid‐driven square cavity

Multigrid simulations of non-Newtonian fluid flow and heat transfer in a ventilated square cavity with mixed convection and baffles

Mixed convective heat transfer in an open cavity with fins

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