## Modeling with Differential Equations in Chemical Engineering'Modelling with Differential Equations in Chemical Engineering' covers the modelling of rate processes of engineering in terms of differential equations. While it includes the purely mathematical aspects of the solution of differential equations, the main emphasis is on the derivation and solution of major equations of engineering and applied science. Methods of solving differential equations by analytical and numerical means are presented in detail with many solved examples, and problems for solution by the reader. Emphasis is placed on numerical and computer methods of solution. A key chapter in the book is devoted to the principles of mathematical modelling. These principles are applied to the equations in important engineering areas. The major disciplines covered are thermodynamics, diffusion and mass transfer, heat transfer, fluid dynamics, chemical reactions, and automatic control. These topics are of particular value to chemical engineers, but also are of interest to mechanical, civil, and environmental engineers, as well as applied scientists. The material is also suitable for undergraduate and beginning graduate students, as well as for review by practising engineers. |

### Common terms and phrases

a²u Accordingly applied ax² balance becomes Bessel boundary conditions C₁ C₂ called chemical coefficients complex concentration constant convergence coordinates corresponding curve dependent derivative differential equation diffusion direction effect element energy Example Figure finite first-order flow fluid force formulas function given gives heat transfer initial input instance integral inverse kind known Laplace transform limit linear lines mass mathematical method nodes nonlinear numerical obtained ODEs original parameters particular plane polynomials potential pressure problem reaction reactor region relation represented response result roots separation shown sinh solution solved specific substitution surface Table temperature tion unit usually values variables volume zero ду