Viscous, laminar mixed convection boundary-layer flow over a horizontal plate, with
chemical reaction, is considered. The governing equations are expressed in nondimensional
form. Group theory is employed to determine the invariant solutions of
these equations under a particular continuous one-parameter group. Series solutions
of the transformed coupled system of equations are then generated for velocity, temperature,
and concentration functions using the Differential Transform Method
(DTM) with Pade´ approximants. The influence of thermal buoyancy parameter,
species buoyancy parameter, chemical reaction parameter, order of chemical reaction,
Prandtl number, and Schmidt number on the flow characteristics is evaluated
in detail The obtained solutions are verified by comparison with the numerical shooting
quadrature results. Applications of the study arise in sheet materials processing,
bio-reactors, and catalytic systems in chemical engineering.
کلید واژگان :
Chemical reaction; Differential transform method; Flat plate; Group theory; Invariants; Materials processing; Mixed convection; Pade´ approximants
