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In this manuscript, heat transfer in flow of Jeffrey fluid past a lubricated surface near a stagnation point is considered. A shear-thinning (power-law) fluid is utilized for the lubrication purpose. The interfacial conditions are developed by applying the continuity of velocity and shear stress of Jeffrey and power-law fluids. Similarity solutions are obtained by selecting power-law index as 0.5. Approximate numerical results are achieved using Keller box scheme. Effects of involved parameters in the presence of lubrication are expressed by graphs and tables. It is found that the lubricant enhances the effects of the retardation parameter while opposes the ratio parameter effects. The temperature is reduced in the presence of the lubricant. Keywords Power-law fluid • Jeffrey fluid • Interfacial conditions • Stagnation-point flow • Keller box method • Heat transfer List of symbols Q Flow rate P Fluid pressure δ Thickness of lubrication layer x, y Rectangular coordinates u, v Velocity components of Jeffrey fluid in horizontal and vertical direction U, V Velocity components of power-law fluid in horizontal and vertical direction U e Free stream velocity λ Time relaxation-to-retardation ratio n Flow behavior index of power-law fluid k 1 Consistency coefficient of power-law fluid L

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