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The Lambert Function Should Be in the Engineering Mathematical Toolbox.

Iordanis Kesisoglou1, Garima Singh1, Michael Nikolaou1

  • 1Chemical and Biomolecular Engineering Department University of Houston, Houston TX 77204-4004.

Computers & Chemical Engineering
|July 16, 2021
PubMed
Summary
This summary is machine-generated.

The Lambert function, a mathematical tool, is increasingly useful in chemical engineering for analysis and computation. Its inclusion in standard toolkits can drive further innovation in the field.

Keywords:
Colebrook equationHollow fiberLambert functionSIRZiegler-Nicholsh-index

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Area of Science:

  • Chemical Engineering
  • Applied Mathematics

Background:

  • The Lambert W function, known for over two centuries, has seen limited application until recent decades.
  • Recent years have witnessed a surge in its use across various science and engineering disciplines.

Purpose of the Study:

  • To demonstrate the utility of the Lambert W function for chemical engineers.
  • To present novel and existing case studies showcasing its analytical and computational capabilities.

Main Methods:

  • Review and application of the Lambert W function in diverse chemical engineering contexts.
  • Development of new case studies illustrating its practical use.

Main Results:

  • The Lambert W function effectively aids in both the analysis and computation of chemical engineering problems.
  • Case studies highlight its versatility, with some building upon existing literature and others presenting new findings.

Conclusions:

  • The Lambert W function offers significant analytical and computational advantages for chemical engineers.
  • Its simplicity and broad applicability warrant its integration into the standard mathematical toolkit for chemical engineers to foster wider adoption and discovery of new applications.