Numerical Computation of Reactive Flow of Third Grade Fluid With Heat Generation

Computation of reactive flow of third grade fluid in cylindrical pipe with heat generation isconsidered. The resulting governing equations of motion are highly nonlinear and are solvedusing collocation method in verifying the impacts of some material variables involved. Resultsindicate that increase in the non-Newtonian variable increases the flow velocity and decreasesthe temperature of the walls of the cylindrical pipe. It is observed that the critical FrankKamenetskii variable exist for which the solution fails to be distinct. It is further observed thatfor   c , a steady state solution does not exist suggesting a thermal runaway which could beavoided by setting  1.8879565 .