Abstract

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<jats:title content-type="abstract-subheading">Purpose</jats:title>
<jats:p>Nanofluid flow which is squeezed between parallel plates is studied using differential transformation method (DTM). The fluid in the enclosure is water containing different types of nanoparticles: Al<jats:sub>2</jats:sub>O<jats:sub>3</jats:sub> and CuO. The effective thermal conductivity and viscosity of nanofluid are calculated by Koo–Kleinstreuer–Li (KKL) correlation. The comparison between the results from DTM and numerical method are in well agreement which proofs the capability of this method for solving such problems. Effects of the squeeze number and nanofluid volume fraction on flow and heat transfer are examined. Results indicate that Nusselt number augment with increase of the nanoparticle volume fraction. Also, it can be found that heat transfer enhancement of CuO is higher than Al<jats:sub>2</jats:sub>O<jats:sub>3</jats:sub>.</jats:p>
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<jats:title content-type="abstract-subheading">Design/methodology/approach</jats:title>
<jats:p>The problem of nanofluid flow which is squeezed between parallel plates is investigated analytically using DTM. The fluid in the enclosure is water containing different types of nanoparticles: Al<jats:sub>2</jats:sub>O<jats:sub>3</jats:sub> and CuO. The effective thermal conductivity and viscosity of nanofluid are calculated by KKL correlation. In this model, effect of Brownian motion on the effective thermal conductivity is considered. The comparison between the results from DTM and numerical method are in well agreement which proves the capability of this method for solving such problems. The effect of the squeeze number and the nanofluid volume fraction on flow and heat transfer is investigated. The results show that Nusselt number increase with increase of the nanoparticle volume fraction. Also, it can be found that heat transfer enhancement of CuO is higher than Al<jats:sub>2</jats:sub>O<jats:sub>3</jats:sub>.</jats:p>
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<jats:title content-type="abstract-subheading">Findings</jats:title>
<jats:p>The effect of the squeeze number and the nanofluid volume fraction on flow and heat transfer is investigated. The results show that Nusselt number increase with increase of the nanoparticle volume fraction. Also, it can be found that heat transfer enhancement of CuO is higher than Al<jats:sub>2</jats:sub>O<jats:sub>3</jats:sub>.</jats:p>
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<jats:title content-type="abstract-subheading">Originality/value</jats:title>
<jats:p>This paper is original.</jats:p>
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