Effect of Uniform and Space-Dependent Heat Source on the Onset of Buoyancy-Driven Convection in Viscosity Fuels: A Linear Theory

Abstract

The viscosity of fuel oil is significantly influenced by temperature, with higher temperatures leading to lower viscosity. To ensure optimal combustion, it's crucial to maintain the fuel's viscosity within a specific range. With regard to variable, spacedependent and uniform heat sources, the impact of variable viscosity on the stability of Buoyancy Rayleigh-Bénard convection is demonstrated. The impact of non-inertial acceleration on natural convection is also studied in the problem. The Fourier series representation of stream function, temperature distribution describes how to derive an analytical expression for the thermal Rayleigh number. Here we noticed that the heat source parameter, the viscosity parameter, and the Taylor number effect the stability of the fluid system. Also, it is demonstrated here the impact of rotational strength accompanied with the stabilized system, where as an increase in the internal Rayleigh number and thermorheological parameter is to destabilize the same. It is also observed that, it is possible to control convection by proper tuning these parameters. A comparative study of external Rayleigh number and stability analysis for the onset of instability is presented in the problem. Some of the important new results have been revealed in the context of heat sources