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Mathematical model of eyring fluid in a scraped surface heat exchanger

Authors:

A Imran ,

COMSATS University Islamabad, Attock Campus, Kamra Road, Pakistan., PK
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Department of Mathematics
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A M Siddiqui,

Pennsylvania State University, York, PA 17403, USA., US
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M Numan,

COMSATS University Islamabad, Attock Campus, Kamra Road, Pakistan., PK
About M
Department of Mathematics
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M A Rana,

Riphah International University, PK
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A Waheed

COMSATS University Islamabad, Attock Campus, Kamra Road, Pakistan., PK
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Department of Mathematics
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Abstract

In this work, a novel mathematical model for steady incompressible isothermal flow of Eyring fluid in a scraped surface heat exchanger (SSHE) is explored. Foodstuff possesses non-Newtonian features, so for studying these effects, we have considered Eyring fluid model. For the analysis of flow inside SSHE, lubrication approximation theory (LAT) is exploited to model the flow, and exact solution is achieved. We analyze the flow about a sequence of pivoted scraper blade in a channel, in which one wall is moving and other is at rest, and the pressure gradient is applied transversely. We computed expressions for important flow indicators like velocity profile, stream functions, pressures, flow rates and the probable regions of backward flow down the blades, the drag and lift forces on the blades and walls. Impact of various flow parameters is exhibited graphically. It is seen that velocity profile in all region of SSHE increases with enhancement in the non-Newtonian parameter γ, whereas opposite behavior is recorded with rising value of β.

How to Cite: Imran, A., Siddiqui, A.M., Numan, M., Rana, M.A. and Waheed, A., 2020. Mathematical model of eyring fluid in a scraped surface heat exchanger. Journal of the National Science Foundation of Sri Lanka, 48(1).
Published on 28 Apr 2020.
Peer Reviewed

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