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This course dealing with mathematics analysis in chemical engineering. Topics cover : Simple process modelling; first order ordinary differential equations; second order ordinary differential equations; higher order linear ordinary differential equations; simultaneous solution of ordinary differential equations; series; Laplace transform; partial differential equations.
— This work deals with the development of design models for heat exchanger rating in catalytic sulphur trioxide hydration process at isothermal condition exploiting the Abowei and Goodhead derived continuous adsorption tower (CAST) heat generation per unit volume equations at constant temperature. Shell and Tube heat exchanger is invoked for this studies resulting to novel design equations which were stochastically examined and found to be capable of simulating the rating performance dimensions as a function of kinetic parameters. The rating performance models were further generalized to inculcate fractional conversion functionality. The novel design models were simulation to evaluate the overall heat transfer coefficient, mass flow rate of cooling fluid, tube side cross flow area and tube side film coefficient using Matlab R2007B within the operational limits of conversion degree at constant temperature. The heat exchanger is used for the removal of heat generated per reactor unit volume utilizing water as cooling fluid, enters the shell side at 25 o C flowing counter currently to the tube side at exit temperature of 85 o C in order to maintaining 97 o C isothermal condition. The configuration of the exchanger is U–tube type and is three (3) shell and six (6) tube passes. The results of the rating dimensions showed a dependable relationship with fractional conversion at constant temperature for various reactor radius and number of tubes. Keywords— CAST, heat exchanger Rating, isothermal, hydration, sulphur trioxide.
PEO1 : Students will exhibit professional knowledge in understanding of chemical processes, design and development of chemical equipments in chemical industries.
In recent years, the performance requirements for petroleum process plants have become increasingly difficult to satisfy. In order to understand, design and operate the complex systems in the petroleum industries at relatively low cost and with minimum risk, mathematical modelling becomes very useful. Thus, this paper proposes some developed mathematical models for a two-phase gas-liquid horizontal separator, which is valid with an accuracy of about 1.641% based on the liquid temperature values. Simulated temperature values were 300.24 K, 299.69 K and 299.14 K with the corresponding industrial values as 300.22 K, 299.67 K and 299.11 K respectively. Within the boundaries of the limitations stated, the model could be used to predict the operation of the separator at different operating conditions, to optimize the separator products and as a tool for further expansion amongst other uses.
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