## Abstract

This chapter introduces recent advanced study on laminar mixed convection of liquid with focusing on its hydrodynamics and heat transfer. Taking water laminar mixed convection as an example enables researchers to targeted study of this book. On this basis, three activities are performed in order for enhancement of the theoretical and practical value of the study. First, for simplification of the study, the governing partial differential equations are equivalently transformed into the ordinary differential equations by using an innovative similarity transformation model of velocity field. Based on such simplification, the study can focus on successive even difficult and complicated issues of heat transfer. Second, coupled effect of variable physical properties is considered. It is an assurance that the systems of numerical solutions have their practical value. Third, based on the theoretical equations and the systems of rigorous numerical solutions, the optimal formalized equations of Nusselt number are created for convenient and reliable application of heat transfer, in view of that so far, there is still lack of such reliable theoretical achievements. These theoretical achievements with the optimal formalized equations are base on the systems of reliable numerical solutions with a better consideration of variable physical properties, they have solidly theoretical and practical value for heat transfer application.

## Keywords

Mixed convection Heat transfer Innovative similarity transformation Mixed convection parameter Positive flow Variable physical properties Theoretical and practical value## References

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