The project involves solving a differential- algebraic System of equations by solving the non-linear equations first and then using the solution to solve the ODE. This is followed by continuation of the solution w.r.t. to one of the parameters employing some continuation technique. This is the case of catalytic combustion where the reaction takes place in the solid phase (very thin layer of catalyst coating inside a pipe/tube ). Some hydrocarbon flows into the tube and is combusted on the solid catalyst layer. The reaction is exothermic and releases heat resulting in net temperature rise in the fluid and solid phase. The system involves mass and energy balance equations which are basically a combination of non-linear equations and ordinary differential equations in space and time. The ODE's in space are discretized so that computing becomes easier. This leaves us with non-linear equations plus one ODE in time. We begin with the solution from the non-linear equations (for conversion, fluid temperature, fluid and solid concentration (using an assumed can be sent to the ODE and the solution obtained based on half step. This solution is then used in the non-linear solver and ODE solved using the new solution. The detailed equation set can be sent later.
1) Complete and fully-functional working program(s) in executable form as well as complete source code of all work done. 2) Installation package that will install the software (in ready-to-run condition) on the platform(s) specified in this bid request. 3) Complete ownership and distribution copyrights to all work purchased. 4) Digital Visual Fortran 6.0 is preferred. Matlab can also do but a detailed description is required.
Platform : Windows XP