Dual solutions of mixed convection flow with momentum and thermal slip flow over a permeable shrinking cylinder

•Convection on shrinking cylinder with slip boundary conditions is studied.•The governing equations possess dual solution.•When compared, first solution is found to have practical acceptability.•The momentum slip negligibly affects the fluid temperature for first solution.•The branches of two solutions do not meet.

Axisymmetric flow of a viscous incompressible fluid over a shrinking vertical cylinder with heat transfer is investigated. The flow considered is with both, the second order momentum slip and first order thermal slip boundary condition. The governing equations of continuity, momentum and energy are transformed into the system of non-linear ordinary differential equations and solved numerically. The velocity and temperature distributions are discussed numerically and shown through graphs. The effects of various physical parameters are examined and discussed in detail. The expressions of skin-friction coefficient, Nusselt number, fluid velocity and temperature at the cylinder are discussed numerically and their variations are presented through graphs.