Here \(K\), \(K_{1}\), \(\beta\) \(A,\) \(\delta,\) \(n,\) \(\lambda\),\(\gamma\), are representation of the curvature, micropolar, magnetic,
unsteadiness, slip, micro gyration, –, and – respectively. Further,Bi and Pr are denoting the Deborah number and
Prandtl number respectively. The above stated parameters are given as,\(K=R\sqrt{\frac{a}{2\nu l\left(1-\alpha_{0}t\right)}}\),\(Bi=\ \frac{h_{w}}{k}\sqrt{\frac{a}{2l\nu\left(1-\alpha_{0}t\right)}}\ \)and \(Pr=\frac{\nu}{\text{\ \ α}}\). The physical magnitudes such as
skin friction and Nusselt number, are quite important form engineering
perpective. The physical quantities examined the behaviour of flow and
transfer rate of heat are defined as,