Transport Analysis

1. Front Matter

   Pages i-x

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2. Introduction

   1. Front Matter

      Pages 1-1

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   2. Some Mathematical Concepts

      • Daniel Hershey

      Pages 3-30

   3. Laplace Transforms

      • Daniel Hershey

      Pages 31-86

3. Transport Analysis in Continuous Processes

   1. Front Matter

      Pages 87-87

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   2. Derivation of the Momentum Transport Equations

      • Daniel Hershey

      Pages 89-109

   3. Transport Analysis in Fluid Flow Phenomena

      • Daniel Hershey

      Pages 111-183

   4. Derivation of the Mass Transport Equations

      • Daniel Hershey

      Pages 185-206

   5. Transport Analysis in Mass Transport Phenomena

      • Daniel Hershey

      Pages 207-296

4. Transport Analysis in Discrete Processes

   1. Front Matter

      Pages 297-297

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   2. Finite Difference Calculus

      • Daniel Hershey

      Pages 299-326

   3. Transport Analysis in Cascaded Systems

      • Daniel Hershey

      Pages 327-350

5. Back Matter

   Pages 351-353

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It has been my experience in teaching graduate and undergraduate courses that if the students are conversant with the pertinent mathematical proce­ dures, and can "think mathematically," there is almost no limit to their comprehension. Most courses that are considered difficult by students are either poorly taught or require a degree of mathematical sophistication that the students do not possess. In Transport Analysis, J have culled some basic momentum transport (fluid flow) and mass transport phenomena and explicitly revealed the derivation of the governing equations. There is no mystery, no omitted steps or "it can be shown" phrases that are usually the bane of the student. There are chapters that review basic calculus, vector and matrix concepts, Laplace transform operations, and finite difference calculus. Ordinary dif­ ferential and partial differential equations are derived and solved. This book is intended for undergraduates and graduate students in engineering, chemistry, physics, and even biology and medicine. It is also intended for my non-engineering colleagues with whom I have collaborated during our cooperative research in the life sciences. If they knew what is contained in Transport Analysis, they probably wouldn't need me. v Acknowledgments To Barbara and Michael, who helped keep me alert, happy, and ful­ filled. To Barbara, who deserves belated thanks for doing the drawings in E1'eryday Science. To Anne Hagedorn, thanks for doing some of the typing. To Gerry Denterlein, thanks for keeping tabs on the drawings.

• calculus
• chemistry
• differential equation
• engine
• extraction
• flow
• flow analysis
• fluid
• fluid flow
• mass
• medicine
• partial differential equation
• physics
• research
• transport phenomena

• Department of Chemical Engineering, University of Cincinnati, Cincinnati, USA

  Daniel Hershey

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