Abstract

Vapour generalized liquids hydrodynamics plays a pivotal role in the absorption columns or design of distillation using structured packing since they indomitable the fluid dynamics restrictions of the columns and control rates of mass balance which is the main purpose of this particular work. Particularly, a first attempt is made regarding this work to explore an investigation for time-dependent thin film flow of Cross nano-liquid over a moving surface. Additionally, some physical aspects during this illustration in terms of heat absorption/generation, thermal radiation, magnetic field, non-constant thermal conductivity, and activation energy with chemical reaction are studied. Some of the suitable similarity variables are introduced to convert the leading problem in the form of ordinary differential equations and then the transformed problem is approximated by one of the built-in collocation methods by using MATLAB. Very interesting results in terms of monotonic reduction in the film thickness for various uplifting values of unsteadiness and magnetic parameters and vice versa for the Wessenberg number are found. Moreover, temperature and concentration are concluded as enhancement functions of variable thermal conductivity and activation energy, respectively. The last comparative work is presented to validate the entire approach and where the method shows an excellent correlation with the previously published results.

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