MATHEMATICAL MODEL OF HEAT AND MASS TRANSFER UNDER LAMINAR FLOW CONDITIONS

Received: 2026-05-12

Published: 2026-06-06

Abstract

This article investigates the simultaneous heat and mass transfer process under laminar flow conditions in a rectangular channel. Grain drying, which is widely used in agriculture, is selected as a practical problem. The differential equations governing heat transfer are solved using analytical and semi-empirical methods, and the variations of the Nusselt and Sherwood numbers along the channel are quantitatively evaluated. The obtained results are visualized in the Python programming environment.

List of references

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  2. Kays W.M., Crawford M.E., Weigand B. — Convective Heat and Mass Transfer. McGraw-Hill, 2005.

  3. Bird R.B., Stewart W.E., Lightfoot E.N. — Transport Phenomena. Wiley, 2002.

  4. Shah R.K., London A.L. — Laminar Flow Forced Convection in Ducts. Academic Press, 1978.

  5. Cengel Y.A., Ghajar A.J. — Heat and Mass Transfer. 5th ed., McGraw-Hill, 2014.

About the Authors

Cho‘lliyev Shokhrukh
Tashkent International University of Education

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How to Cite

MATHEMATICAL MODEL OF HEAT AND MASS TRANSFER UNDER LAMINAR FLOW CONDITIONS. (2026). MMIT Proceedings, 1146-1152. https://doi.org/10.61587/

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