<p>A numerical study was performed in this article to discuss torsional flow of nanofluid moving between two concentric cylinders in the presence of magnetic field. The copper nanoparticles <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$(\text{Cu})$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mtext>Cu</mtext> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> were evenly distributed in water (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">${\text{H}}_{2}\text{O}$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mtext>H</mtext> <mn>2</mn> </msub> <mtext>O</mtext> </mrow> </math></EquationSource> </InlineEquation>), which was selected as the conventional base fluid. The system of flow governing equations was reduced into dimensionless form by utilizing dimensionless quantities. The obtained dimensionless system was solved with the help of “Bvp4c” technique and validated with shooting technique using RK4 method. The findings of several essential parameters on flow profiles were illustrated graphically with detailed explanations. It was discovered that when both cylinders rotates in the same direction, the fluid velocity improves due to the outer rotational velocity <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$\left( {0.3 \le \Omega_{2} \le 0.9} \right)$</EquationSource> <EquationSource Format="MATHML"><math> <mfenced close=")" open="("> <mrow> <mn>0.3</mn> <mo>≤</mo> <msub> <mi mathvariant="normal">Ω</mi> <mn>2</mn> </msub> <mo>≤</mo> <mn>0.9</mn> </mrow> </mfenced> </math></EquationSource> </InlineEquation>. In addition, the aspect ratio of radius <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$\left( {0.3 \le \Upsilon \le 0.9} \right)$</EquationSource> <EquationSource Format="MATHML"><math> <mfenced close=")" open="("> <mrow> <mn>0.3</mn> <mo>≤</mo> <mi mathvariant="normal">Υ</mi> <mo>≤</mo> <mn>0.9</mn> </mrow> </mfenced> </math></EquationSource> </InlineEquation>, which is a characteristic of concentric cylinders, reduces the flow velocity when the cylinders rotates in the same direction. This study can be applied to many spinning components, such as turbojet cooling systems, chemical mixing equipment and electric motors. Consequently, improving heat transfer in these equipments is highly significant.</p>

Computational study of the magnetohydrodynamic copper–water nanofluid flow through concentric cylinders immersed in a porous medium

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2025年1月15日

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Prasun Choudhary,
Sushila Choudhary,
Kavita Jat,
K. Loganathan,
Rifaqat Ali

摘要

A numerical study was performed in this article to discuss torsional flow of nanofluid moving between two concentric cylinders in the presence of magnetic field. The copper nanoparticles $(\text{Cu})$ $(Cu)$ were evenly distributed in water ( ${\text{H}}_{2}\text{O}$ $H_{2} O$ ), which was selected as the conventional base fluid. The system of flow governing equations was reduced into dimensionless form by utilizing dimensionless quantities. The obtained dimensionless system was solved with the help of “Bvp4c” technique and validated with shooting technique using RK4 method. The findings of several essential parameters on flow profiles were illustrated graphically with detailed explanations. It was discovered that when both cylinders rotates in the same direction, the fluid velocity improves due to the outer rotational velocity $\left( {0.3 \le \Omega_{2} \le 0.9} \right)$ $(0.3 \leq Ω_{2} \leq 0.9)$ . In addition, the aspect ratio of radius $\left( {0.3 \le \Upsilon \le 0.9} \right)$ $(0.3 \leq Υ \leq 0.9)$ , which is a characteristic of concentric cylinders, reduces the flow velocity when the cylinders rotates in the same direction. This study can be applied to many spinning components, such as turbojet cooling systems, chemical mixing equipment and electric motors. Consequently, improving heat transfer in these equipments is highly significant.