Exact integral solutions for the horizontal, unsteady flow of two viscous, incompressible
fluids are derived. Both one‐dimensional and radial displacements are calculated with full …

Analytic solutions are presented for a nonlinear diffusion‐convection model describing
constant rate rainfall infiltration in uniform soils and other porous materials. The model is …

Driven by the advancement of industrial mathematics and the need for impact case studies,
Inverse Problems with Applications in Science and Engineering thoroughly examines the …

This Second Edition for the standard graduate level course in conduction heat transfer has
been updated and oriented more to engineering applications partnered with real-world …

Continuing advances in computer technology have made it possible for engineers and
scientists to construct increasingly realistic models of physical processes. Practical Inverse …

Overall, our object has been to provide an applications-oriented text that is reasonably self-
contained. It has been used as the basis for a graduate-level course both at the University of …

The unsaturated zone plays an important role in the hydrological cycle. It forms the link
between surface water and ground water and has a dominant influence on the partitioning of …

The theory for movement of water in unsaturated soils published by Richards 70 years ago
is still an important starting point for the analysis of most soil physical problems. Over the last …

Closed form approximate solutions to nonlinear heat (mass) diffusion equation with power-
law nonlinearity of the thermal (mass) diffusivity have been developed by the integral …

The goal of this chapter is firstly to give a survey of some explicit and approximated solutions
for heat and mass transfer problems in which a free or moving interface is involved …