Dual Solutions in Unsteady Stagnation-Point Flow over a Shrinking Sheet

An analysis is made to study the dual nature of solution of unsteady stagnation-point flow due to a shrinking sheet.Using similarity transformations,the governing boundary layer equations are transformed into the self-similar nonlinear ordinary differential equations.The transformed equations are solved numerically using a very efficient shooting method.The study reveals the conditions of existence,uniqueness and non-existence of unsteady similarity solution.The dual solutions for velocity distribution exist for certain values of velocity ratio parameter(c/a),and the increment in the unsteadiness parameter A increases the range of c/a where solution exists.Also,with increasing A,the skin friction coefficient increases for the first solution and decreases for the second.