Heat transfer analysis in sodium alginate based nanofluid using MoS2 nanoparticles: Atangana–Baleanu fractional model

In this work, a new idea of Atangana-Baleanu fractional derivative has been applied to study heat transfer due to free convection in non-Newtonian nanofluids over an infinite vertical plate. Sodium alginate (SA-NaAlg) has been taken as non-Newtonian base fluid and a suspension of molybdenum disulphide (MoS2) nanoparticles has been used in it. Brinkman and Maxwell–Garnetts (MG) representations have been applied to observe the strength of two important properties namely; viscosity and thermal conductivity. The problem is modeled in the form of partial differential equations with imposed conditions. The plate transfers a cosine type oscillations to the fluid with a constant temperature. Expressions for velocity and temperature fields have been obtained explicitly by making use of the Laplace transform technique. Zakian's explicit formula has been used to testify the results by inversion of Laplace transform. All the involved parameters for velocity and temperature profiles have been analyzed because of their graphical representations. Results of Nusselt number have been computed in tabular form. The results showed that a rise in nanoparticle volume fraction leads to heat transfer enrichment.