Heat transfer distribution in Oldroyd-B nanofluid with variable thermal conductivity: A fractional approach

Abstract

PurposeThe physical dynamic and impact of many problems is successfully attributed via fractional approach. The fractional models more effectively present the insight of many problems which maintain the memory effects. Owing to excellent thermal activities and alters, the nanoparticles are more superior contrasting to base liquids. Different dynamic of nanoparticles are reported in the heating transmission systems, engineering processes and industrial framework. Design/methodology/approachPresent study elucidates the heat transfer distribution in Oldroyd-B nanofluid which is decomposition of copper nanoparticles with blood base fluid. The variable thermal conductivity function is assumed to treat the nanofluid problem. Furthermore, the viscous dissipation consequences are utilized in order to modifying the problem. The modeling is based on Caputo fractional forms. The finite difference simulations are performed to computing the numerical results. Thermal results for nanofluid model are physical claimed with variation of flow parameters 0≤Ha≤5,1≤Gr≤3,0.01≤φ≤0.2,0≤ϵ≤1,0≤Ec≤1 and α=β∈(0,1].. FindingsThe claimed results verify that boosted thermal phenomenon is associated under the variable thermal conductivity assumptions. The increasing volume fractional parameter role is noted for temperature profile. The heat transfer pattern is increasing function of nanoparticles volume fraction while controlling results are noted for fractional parameter. Based on reported results, it is claimed that current solution approach can be further implemented to different physical problems.