The kinetic Holway-Shakhov equation

TL;DR

This paper introduces a new generalized kinetic equation combining features of the Holway and Shakhov equations, with parameters linked to physical properties like viscosity and heat conductivity, expressed via integral brackets.

Contribution

It presents a novel hybrid kinetic equation that unifies the Holway and Shakhov models with parameters tied to measurable physical quantities.

Findings

Equation constants are expressed through physical quantities.

Physical quantities are represented via integral brackets.

The new equation provides a more comprehensive kinetic model.

Abstract

The new generalized kinetic equation is offered. This equation represents a hybrid Shakhov's equation and ellipsoidal statistical Holway's equation. Equation constants are expressed through such physically significant quantities, as viscosity of gas, its heat conductivity and self-diffusion coefficient. Then these quantities are expressed through integral brackets.