Convection in a vertical duct under the chemical reaction influence using Robin boundary conditions

摘要: Abstract Convective flow with chemical reaction in a vertical duct using third kind boundary conditions is investigated. The heat exchanged from the walls of and external fluid. equations balance are written dimensionless form taking into account effect viscous dissipation. inclusion dissipation reflects transformation original nonlinear equations. Hence closed solutions not possible. Therefore, resolved by classical explicit Runge–Kutta method combined shooting which can be employed for various magnitudes Brinkman number. obtained numerically justified solving analytically perturbation technique applicable only numbers to less than one. profiles shown graphically different values thermal solutal Grashof numbers, Biot number, parameter. impacts physical characteristics on friction factor Nusselt number also evaluated results tabulated. received Runge-Kutta equal when Br = 0 as increases, error increases.