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METHOD FOR SOLUTION OF SOME NON-LINEAR BOUNDARY VALUE PROBLEMS OF A NON-STATIONARY DIFFUSION-CONTROLLED (THERMAL) BOUNDARY LAYER.

Author(s) : POLYANIN A. D.

Type of article: Article

Summary

AN EXACT ANALYTICAL METHOD IS SUGGESTED FOR THE SOLUTION OF A WIDE CLASS OF UNSTEADY STATE BOUNDARY LAYER PROBLEMS WHICH DESCRIBE THE PROCESSES OF CONVECTIVE MASS AND HEAT TRANSFER OF PARTICLES IN AN IDEAL, AND DROPLETS (BUBBLES) IN A VISCOUS INCOMPRESSIBLE, FLUID. THE METHOD IS BASED ON INCORPORATION OF FOUR INDEPENDENT VARIABLES SPECIFIED BY A SET OF 1ST-ORDER PARTIAL DIFFERENTIAL EQUATIONS WHICH ALLOWS A GENERAL SOLUTION OF THE LINEAR PROBLEM SUBJECT TO ARBITRARY INITIAL AND BOUNDARY CONDITIONS. A GENERAL SOLUTION IS OBTAINED FOR A SIMILAR LINEAR UNSTEADY STATE PROBLEM CONNECTED WITH THE 1ST-ORDER BULK CHEMICAL REACTION OCCURRING IN THE FLUID. THE PROCESS OF CONVECTIVE DIFFUSION TO A PARTICLE AT AN ARBITRARY RATE OF CHEMICAL REACTION PROCEEDING ON ITS SURFACE IS STUDIED.

Details

  • Original title: METHOD FOR SOLUTION OF SOME NON-LINEAR BOUNDARY VALUE PROBLEMS OF A NON-STATIONARY DIFFUSION-CONTROLLED (THERMAL) BOUNDARY LAYER.
  • Record ID : 1983-0068
  • Languages: English
  • Source: International Journal of Heat and Mass Transfer - vol. 25 - n. 4
  • Publication date: 1982/04

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