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Arora Sharma 2026a - Revision history
2026-05-06T23:49:32Z
Revision history for this page on the wiki
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Scipediacontent: Scipediacontent moved page Review 698435898590 to Arora Sharma 2026a
2026-04-20T09:35:52Z
<p>Scipediacontent moved page <a href="/public/Review_698435898590" class="mw-redirect" title="Review 698435898590">Review 698435898590</a> to <a href="/public/Arora_Sharma_2026a" title="Arora Sharma 2026a">Arora Sharma 2026a</a></p>
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<td colspan='1' style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan='1' style="background-color: white; color:black; text-align: center;">Revision as of 09:35, 20 April 2026</td>
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Scipediacontent at 09:35, 20 April 2026
2026-04-20T09:35:42Z
<p></p>
<table class="diff diff-contentalign-left" data-mw="interface">
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<td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 09:35, 20 April 2026</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l2" >Line 2:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== Abstract ==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== Abstract ==</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><p>This study investigates the linear stability of double-diffusive convection in magnetic nanofluids (MNFs) within a horizontal porous medium, accounting for <del class="diffchange diffchange-inline">field&ndash;dependent </del>viscosity (FDV). A modified <del class="diffchange diffchange-inline">Buongiorno&ndash; </del>type model incorporates Brownian motion, thermophoresis, magnetophoresis, and Darcy resistance. The resulting eigenvalue problem is solved via a Chebyshev <del class="diffchange diffchange-inline">pseudospectral&ndash;QZ </del>algorithm under <del class="diffchange diffchange-inline">rigid&ndash;rigid </del>(RR), <del class="diffchange diffchange-inline">rigid&ndash;free </del>(RF), and <del class="diffchange diffchange-inline">free&ndash;free </del>(FF) boundary conditions for both <del class="diffchange diffchange-inline">water&ndash;based </del>(<del class="diffchange diffchange-inline">W b</del>) and <del class="diffchange diffchange-inline">ester&ndash;based </del>(<del class="diffchange diffchange-inline">E b</del>) MNFs. Results show that magnetic and solutal effects lower the critical Rayleigh number (<del class="diffchange diffchange-inline">Ra c</del>) from the classical <del class="diffchange diffchange-inline">Darcy&ndash;B&eacute;nard </del>limit of<del class="diffchange diffchange-inline">&asymp;39</del>.48 to as low as <del class="diffchange diffchange-inline">&asymp;23</del>.8, indicating enhanced instability. In contrast, increasing the FDV coefficient (<del class="diffchange diffchange-inline">&delta;</del>), Langevin parameter (<del class="diffchange diffchange-inline">&alpha;</del></p></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><p>This study investigates the linear stability of double-diffusive convection</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>in magnetic nanofluids (MNFs) within a horizontal porous medium,</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>accounting for <ins class="diffchange diffchange-inline">field–dependent </ins>viscosity (FDV). A modified <ins class="diffchange diffchange-inline">Buongiorno–</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>type model incorporates Brownian motion, thermophoresis, magnetophoresis, and Darcy resistance. The resulting eigenvalue problem is</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>solved via a Chebyshev <ins class="diffchange diffchange-inline">pseudospectral–QZ </ins>algorithm under <ins class="diffchange diffchange-inline">rigid–rigid</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>(RR), <ins class="diffchange diffchange-inline">rigid–free </ins>(RF), and <ins class="diffchange diffchange-inline">free–free </ins>(FF) boundary conditions for both</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">water–based </ins>(<ins class="diffchange diffchange-inline">Wb</ins>) and <ins class="diffchange diffchange-inline">ester–based </ins>(<ins class="diffchange diffchange-inline">Eb</ins>) MNFs. Results show that magnetic and solutal effects lower the critical Rayleigh number (<ins class="diffchange diffchange-inline">Rac</ins>) from</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>the classical <ins class="diffchange diffchange-inline">Darcy–Bénard </ins>limit of <ins class="diffchange diffchange-inline">≈39</ins>.48 to as low as <ins class="diffchange diffchange-inline">≈23</ins>.8, indicating enhanced instability. In contrast, increasing the FDV coefficient</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>(<ins class="diffchange diffchange-inline">δ</ins>), Langevin parameter (<ins class="diffchange diffchange-inline">αL), and nanoparticle concentration difference</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">(�φ) raises Rac, stabilizing the system. Eb–MNFs exhibit consistently</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">higher Rac values—by 15%–20% compared to Wb–MNFs, due to greater</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">viscosity and lower thermal diffusivity. These findings clarify the interplay</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">of magnetoviscous damping and solutal buoyancy, offering predictive</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">insights for the design of magnetically tunable porous heat exchangers and</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">thermal management systems.</ins></p></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== Document ==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== Document ==</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><pdf>Media:Draft_content_550486615-8055-document.pdf</pdf></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><pdf>Media:Draft_content_550486615-8055-document.pdf</pdf></div></td></tr>
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<td colspan='1' style="background-color: white; color:black; text-align: center;">Revision as of 08:56, 20 April 2026</td>
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Scipediacontent: Created page with " == Abstract == <p>This study investigates the linear stability of double-diffusive convection in magnetic nanofluids (MNFs) within a horizontal porous medium, accounting for..."
2026-04-20T08:56:09Z
<p>Created page with " == Abstract == <p>This study investigates the linear stability of double-diffusive convection in magnetic nanofluids (MNFs) within a horizontal porous medium, accounting for..."</p>
<p><b>New page</b></p><div><br />
== Abstract ==<br />
<br />
<p>This study investigates the linear stability of double-diffusive convection in magnetic nanofluids (MNFs) within a horizontal porous medium, accounting for field&ndash;dependent viscosity (FDV). A modified Buongiorno&ndash; type model incorporates Brownian motion, thermophoresis, magnetophoresis, and Darcy resistance. The resulting eigenvalue problem is solved via a Chebyshev pseudospectral&ndash;QZ algorithm under rigid&ndash;rigid (RR), rigid&ndash;free (RF), and free&ndash;free (FF) boundary conditions for both water&ndash;based (W b) and ester&ndash;based (E b) MNFs. Results show that magnetic and solutal effects lower the critical Rayleigh number (Ra c) from the classical Darcy&ndash;B&eacute;nard limit of&asymp;39.48 to as low as &asymp;23.8, indicating enhanced instability. In contrast, increasing the FDV coefficient (&delta;), Langevin parameter (&alpha;</p><br />
<br />
<br />
<br />
== Document ==<br />
<pdf>Media:Draft_content_550486615-8055-document.pdf</pdf></div>
Scipediacontent