Fluid mechanics covers almost all research areas of the natural and engineering world. Therefore, the topic is interesting to engineers, mathematicians, physicists, and biologists. Fluid mechanics can be studied in biological cell flow, technological processes, natural flows (e.g., seas and rivers) and convective flow in stars.

The methods to model transport problems involving fluid flow with heat and mass transfer have evolved over time. Initially, the methods were mostly mathematical, hoping to solve real-world problems. Recently, fractional calculus plays an important role in the fields of mathematics, physics, electronics, mechanics, and engineering. Many operations in physics and engineering can be defined accurately by using systems of differential equations containing different types of fractional derivatives. Therefore, there is a need to further explore the use of fractional calculus in fluids mechanics and heat-mass transfer.

The aim of this Special Issue is to collect original research articles and review articles reporting the latest progress in modelling transport phenomena. Submissions involving fluid mechanics and heat-mass transfer with fractional derivatives involving newly conceived fractional operators are highly encouraged. Researchers working within the field of theory, methods, and application of these problems are welcome to submit their latest findings in this Special Issue.

Potential topics include but are not limited to the following:

• Application of fractional calculus in fluid mechanical modelling
• Fractional derivative applications (e.g., constitutive equations and physical basis)
• Heat transfer, diffusion, and chemical processes
• Numerical methods
• Analytical methods
• Iterative methods
• Processes in thermal engineering
• Plasma diffusion