Closed-form Solution for Forced Convection of Power-law Fluid Flow through Isothermal Tubes

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Daghighi S.Z.; NOROUZI M.

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Journal: JOURNAL OF MECHANICAL ENGINEERING Year:2019 | Volume:48 | Issue:4 (85) Page(s): 133-142

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Title

Closed-form Solution for Forced Convection of Power-law Fluid Flow through Isothermal Tubes

Author(s)

Daghighi S.Z. | NOROUZI M. | Issue Writer Certificate

Keywords

Power-law fluid

Heat convection

Isothermal tube

Modal analysis

Power-law index

Abstract

In the present paper the forced convection heat transfer of non-Newtonian Power-law fluid through an Isothermal tube is studied analytically. Exact solutions for thermally developing and fully developed Power-law flows are presented. In the case of thermally developing flow, the energy equation is solved by applying the Separation Method resulting in a homogeneous system of differential equations including Sturm-Liouville equation. Temperature distribution of Power law flow through tube is presented for two states of shear thinning n=0. 2 and Newtonian n=1in closed form solutions. The diagram resulted of plotting the local Nusselt number versus the dimensionless tube length for both of two considered states, represents this fact that increasing of the Power law index the Nusselt number is decreased. For the fully developed Power law flow after solving the energy equation finally an ordinary second order differential equation is derived in which the flow temperature distribution is determined by Modal analysis. For different values of Power-law indices firstly, the Nussselt number is determined by wall thermal boundary condition and then the flow temperature distribution is presented by Frobenius method. The results show that the Nusselt number and maximum temperature are decreased by increasing the Power-law index meaning a decrease in the tube heat transfer.

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APA: Copy

Daghighi, S.Z., & NOROUZI, M.. (2019). Closed-form Solution for Forced Convection of Power-law Fluid Flow through Isothermal Tubes. JOURNAL OF MECHANICAL ENGINEERING, 48(4 (85) ), 133-142. SID. https://sid.ir/paper/269927/en

Vancouver: Copy

Daghighi S.Z., NOROUZI M.. Closed-form Solution for Forced Convection of Power-law Fluid Flow through Isothermal Tubes. JOURNAL OF MECHANICAL ENGINEERING[Internet]. 2019;48(4 (85) ):133-142. Available from: https://sid.ir/paper/269927/en

IEEE: Copy

S.Z. Daghighi, and M. NOROUZI, “Closed-form Solution for Forced Convection of Power-law Fluid Flow through Isothermal Tubes,” JOURNAL OF MECHANICAL ENGINEERING, vol. 48, no. 4 (85) , pp. 133–142, 2019, [Online]. Available: https://sid.ir/paper/269927/en

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