Viscosity of n hexadecane under various shear rates, temperatures, and pressures

The Carreau-Yasuda (CY) equation:

n0 is the equilibrium viscosity, ̇ Y0 is a reference shear rate near which shear-thinning starts.

Prandtl model: In this model a point mass is connected to a spring (damped spring), and as it moves, it experiences both conservative forces (from the potential) and damping force. the mass point’s equation of motion in the presence of thermal noise

 x is the position of the “Prandtl atom”, ẋ its velocity, v0 the velocity of the pulling spring, Y0 is a damping term of unit kg/s, V the amplitude of the sinusoidal

• At lower shear rate, As temperature increases shear viscosity decreases. For any temperature, As shear rate increases shear viscosity decreases.

• At higher pressures, the viscosity increases significantly. This increase follows an exponential-like behavior at large pressures, indicating that the fluid becomes much more resistant to shear as pressure rises.

Reference: https://www.researchgate.net/publication/376684508_On_the_Shear-Thinning_of_Alkanes