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Purpose

The purpose of this paper is to introduce the Cattaneo-Christov heat flux model for an Oldroyd-B fluid.

Design/methodology/approach

Cattaneo-Christov heat flux model is utilized for the heat transfer analysis instead of Fourier’s law of heat conduction. Analytical solutions of nonlinear problems are computed.

Findings

The authors found that the temperature is decreased with an increase in relaxation time of heat flux but temperature gradient is enhanced.

Originality/value

No such analysis exists in the literature yet.

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