The current problem focuses on simulating heat and mass transfer phenomena for MHD Casson hybrid nanofluid flow through the space between two stretchable circular plates. Both plates are gyrating with distinct rates and have variable porous space between them. To control the thermal performance of the flow problem, the famous Cattaneo-Christov heat flux model has been used in this work. The impacts of magnetic field, thermal radiations, and non-uniform heat source/sink are used in this work. The modeled equations have been evaluated computationally through the bvp4c approach. It was observed in this study that, with progression in magnetic factor, the axial velocity declines adjacent to the lower disk on the interval <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="396_2024_5363_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="84" /> </InlineMediaObject> <EquationSource Format="TEX">$0 \le \xi < 0.4$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>0</mn> <mo>≤</mo> <mi>ξ</mi> <mo><</mo> <mn>0.4</mn> </mrow> </math></EquationSource> </InlineEquation>, and it upsurges on the interval <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="396_2024_5363_Article_IEq2.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="96" /> </InlineMediaObject> <EquationSource Format="TEX">$0.4 < \xi \le 1.0$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>0.4</mn> <mo><</mo> <mi>ξ</mi> <mo>≤</mo> <mn>1.0</mn> </mrow> </math></EquationSource> </InlineEquation> closer to the upper disk. The redial velocity declines on the intervals <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="396_2024_5363_Article_IEq3.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="84" /> </InlineMediaObject> <EquationSource Format="TEX">$0 \le \xi < 0.3$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>0</mn> <mo>≤</mo> <mi>ξ</mi> <mo><</mo> <mn>0.3</mn> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="396_2024_5363_Article_IEq4.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="96" /> </InlineMediaObject> <EquationSource Format="TEX">$0.7 < \xi \le 1.0$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>0.7</mn> <mo><</mo> <mi>ξ</mi> <mo>≤</mo> <mn>1.0</mn> </mrow> </math></EquationSource> </InlineEquation>, while it escalates on the interval <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="396_2024_5363_Article_IEq5.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="96" /> </InlineMediaObject> <EquationSource Format="TEX">$0.3 \le \xi < 0.7$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>0.3</mn> <mo>≤</mo> <mi>ξ</mi> <mo><</mo> <mn>0.7</mn> </mrow> </math></EquationSource> </InlineEquation>. For higher values of variable porous factor, the axial and tangential velocities escalate, while the radial velocity upsurges near the lower disk on the interval <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="396_2024_5363_Article_IEq6.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="84" /> </InlineMediaObject> <EquationSource Format="TEX">$0 \le \xi \le 0.5$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>0</mn> <mo>≤</mo> <mi>ξ</mi> <mo>≤</mo> <mn>0.5</mn> </mrow> </math></EquationSource> </InlineEquation>. The thermal distribution augments with corresponding growth in radial factor, magnetic factor, and thermal Biot number, and it declines with progression in the thermal relaxation time factor. The validation of the work has been ensured through comparative analysis conducted in the work. Graphical abstract

Thermal investigation of magnetized Casson hybrid nanofluid flow through two stretchable angular rotating disks with variable porosity and Cattaneo-Christov heat flux model: a numerical approach

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发表日期：

2024年12月31日

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Showkat Ahmad Lone,
Rawan Bossly,
Fuad S. Alduais,
Afrah Al-Bossly,
Arshad Khan,
Anwar Saeed

摘要

The current problem focuses on simulating heat and mass transfer phenomena for MHD Casson hybrid nanofluid flow through the space between two stretchable circular plates. Both plates are gyrating with distinct rates and have variable porous space between them. To control the thermal performance of the flow problem, the famous Cattaneo-Christov heat flux model has been used in this work. The impacts of magnetic field, thermal radiations, and non-uniform heat source/sink are used in this work. The modeled equations have been evaluated computationally through the bvp4c approach. It was observed in this study that, with progression in magnetic factor, the axial velocity declines adjacent to the lower disk on the interval $0 \le \xi < 0.4$ $0 \leq ξ < 0.4$ , and it upsurges on the interval $0.4 < \xi \le 1.0$ $0.4 < ξ \leq 1.0$ closer to the upper disk. The redial velocity declines on the intervals $0 \le \xi < 0.3$ $0 \leq ξ < 0.3$ and $0.7 < \xi \le 1.0$ $0.7 < ξ \leq 1.0$ , while it escalates on the interval $0.3 \le \xi < 0.7$ $0.3 \leq ξ < 0.7$ . For higher values of variable porous factor, the axial and tangential velocities escalate, while the radial velocity upsurges near the lower disk on the interval $0 \le \xi \le 0.5$ $0 \leq ξ \leq 0.5$ . The thermal distribution augments with corresponding growth in radial factor, magnetic factor, and thermal Biot number, and it declines with progression in the thermal relaxation time factor. The validation of the work has been ensured through comparative analysis conducted in the work.

Graphical abstract