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It is a focused fact in thermal analysis that if a particular alloy changes from liquid to solid from higher temperature to lower temperature, then reactions between fluid particles occur at equal rates of heat transfer. In this manuscript, mathematical synchronisation in coaxial cylinders of one-dimensional flow of fractional Oldroyd-B nanofluid is developed for heat transfer in the absence of pressure gradient. The modern fractional approach-based non-singular and local kernel is particularised on the boundary layered cylindrical governing equations for temperature distribution and velocity profile. To get rid of the complexity of computation from governing equations based on cylindrical domain, the powerful techniques of integral transforms are employed. Moreover, the fractionalised Oldroyd-B nanofluid, containing a mixture of small nanoparticles, namely,(molybdenum disuphide),(copper),(aluminium oxide),(silver) with ethylene glycol as a base fluid, is also discussed for velocity profile and temperature distribution. In the light of thermal relaxation time and Prandtl number, our results suggest that smaller values of thermal relaxation time generate oscillation between temperature distribution and Prandtl number produced thermal fluctuations with an intrinsic structure.

A computational technique for thermal analysis in coaxial cylinder of one-dimensional flow of fractional Oldroyd-B nanofluid