<p>Numerical simulation of thermo-convective flow under varying obstacles for analyzing heat transfer and entropy generation has emerged as an attractive research field for enhancing the performance of thermodynamic systems, particularly within porous media. This study investigates the entropy generation characterization and convective heat transport of hybrid nanofluid within a porous inclined cavity with heated chamfers. Two different cases of cooled internal obstacle are considered, namely, square obstacle (Case 1) and plus-shaped bar (Case 2). The mathematical model incorporates the continuity, momentum, and energy equations, which are nondimensionalized and solved via the finite volume approach. The complete mathematical model has been numerically implemented using a MATLAB house code at various values of flow parameters, such as Rayleigh number <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$(10^3 \le {\text {Ra}} \le 10^6)$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <msup> <mn>10</mn> <mn>3</mn> </msup> <mo>≤</mo> <mtext>Ra</mtext> <mo>≤</mo> <msup> <mn>10</mn> <mn>6</mn> </msup> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, Darcy number <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$(10^{-1} \le {\text {Da}} \le \ 10^{-5})$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <mo>≤</mo> <mtext>Da</mtext> <mo>≤</mo> <mspace width="4pt" /> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>5</mn> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, the volume fraction of hybrid nanoparticles <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$(0 \le \phi \le 8\%)$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mn>0</mn> <mo>≤</mo> <mi>ϕ</mi> <mo>≤</mo> <mn>8</mn> <mo>%</mo> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, and cavity inclination angle <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$(0^\circ \le \omega \le 180^\circ )$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <msup> <mn>0</mn> <mo>∘</mo> </msup> <mo>≤</mo> <mi>ω</mi> <mo>≤</mo> <msup> <mn>180</mn> <mo>∘</mo> </msup> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>. The outcomes of the simulation were presented through isothermal contours and streamlines. Furthermore, the results for entropy generation have been monitored through the Bejan number. Based on the obtained outcomes, the square obstacle in the considered Case 1 is more effective in enhancing flow intensity and heat dispersion with reduced disturbance compared to the plus-shaped obstacle. An improvement in the Nusselt numbers was noted with an increase in the volume fraction, attaining <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$42.2\%$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>42.2</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation> for Case 1 and <InlineEquation ID="IEq6"> <EquationSource Format="TEX">$42.6\%$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>42.6</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation> for Case 2. Under the same conditions, the presence of the square obstacle achieves a <InlineEquation ID="IEq7"> <EquationSource Format="TEX">$12\%$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>12</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation> higher average Nusselt number than the presence of the plus-shaped obstacle, illustrating that obstacle geometry plays a decisive role in optimizing thermal performance within porous cavities.</p>

Analysis of convective hybri‘d nanofluid in an oblique porous cavity with heated chamfers and internal obstacle

期刊论文
出版模式：

开放获取
发表日期：

2026年1月31日

查看全文

Hillal M. Elshehabey,
Sh. Ashraf,
G. Hoshoudy,
A. Mahdy

摘要

Numerical simulation of thermo-convective flow under varying obstacles for analyzing heat transfer and entropy generation has emerged as an attractive research field for enhancing the performance of thermodynamic systems, particularly within porous media. This study investigates the entropy generation characterization and convective heat transport of hybrid nanofluid within a porous inclined cavity with heated chamfers. Two different cases of cooled internal obstacle are considered, namely, square obstacle (Case 1) and plus-shaped bar (Case 2). The mathematical model incorporates the continuity, momentum, and energy equations, which are nondimensionalized and solved via the finite volume approach. The complete mathematical model has been numerically implemented using a MATLAB house code at various values of flow parameters, such as Rayleigh number $(10^3 \le {\text {Ra}} \le 10^6)$ $(10^{3} \leq Ra \leq 10^{6})$ , Darcy number $(10^{-1} \le {\text {Da}} \le \ 10^{-5})$ $(10^{- 1} \leq Da \leq 10^{- 5})$ , the volume fraction of hybrid nanoparticles $(0 \le \phi \le 8\%)$ $(0 \leq ϕ \leq 8 %)$ , and cavity inclination angle $(0^\circ \le \omega \le 180^\circ )$ $(0^{\circ} \leq ω \leq 180^{\circ})$ . The outcomes of the simulation were presented through isothermal contours and streamlines. Furthermore, the results for entropy generation have been monitored through the Bejan number. Based on the obtained outcomes, the square obstacle in the considered Case 1 is more effective in enhancing flow intensity and heat dispersion with reduced disturbance compared to the plus-shaped obstacle. An improvement in the Nusselt numbers was noted with an increase in the volume fraction, attaining $42.2\%$ $42.2 %$ for Case 1 and $42.6\%$ $42.6 %$ for Case 2. Under the same conditions, the presence of the square obstacle achieves a $12\%$ $12 %$ higher average Nusselt number than the presence of the plus-shaped obstacle, illustrating that obstacle geometry plays a decisive role in optimizing thermal performance within porous cavities.