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THE GENERALIZED INTEGRAL TRANSFORM TECHNIQUE (GITT) IS EMPLOYED TO SOLVE CONVECTION-DIFFUSION PROBLEMS IN FLUIDS WITH VARIABLE PHYSICAL PROPERTIES. IN THIS CASE, SOME STRONG NON-LINEAR TERMS ARE OBSERVED IN THE FORMULATION, WHERE THE ANALYTICAL TRANSFORM IS NOT POSSIBLE. A SIMPLE ALGORITHM IS PRESENTED, WHICH ALLOWS TO OBTAIN THE COEFFICIENTS NUMERICALLY AND PERMITS A GREAT FLEXIBILITY IN CHANGING BOUNDARY CONDITIONS AND SOURCE TERMS OF THE ORIGINAL EQUATIONS. RESULTS FOR THE COMPRESSIBLE BOUNDARY LAYER EQUATIONS IN A PARALLEL PLATE CHANNEL FLOW AND FOR THE CLASSICAL LID-DRIVEN FLOW IN A SQUARE CAVITY WITH ALL THE PROPERTIES AS FUNCTIONS OF THE TEMPERATURE (EXCEPT THE DENSITY) ARE SHOWN.
KEY-WORDS: INTEGRAL TRANSFORMS, HYBRID METHODS, NON-BOUSSINESQ CONVECTION, COMPRESSIBLE FLOW, VARIABLE PROPERTIES
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