Journal of Mathematical Analysis and Modeling

Yazarlar: Muhammad Imran Asjad, Maryam Aleem, Waqas Ali, Muhammad Abubakar, Fahd Jarad

Konular:-

DOI:10.48185/jmam.v2i3.380

Anahtar Kelimeler:Modified Laplace transform; Generalized Caputo; Application to heat and mass transfer problem.

Özet: In this paper, we use a model of non-Newtonian second grade fluid which having three partial differential equations of momentum, heat and mass transfer with initial condition and boundary condition. We develop the modified Laplace transform of this model with fractional order generalized Caputo fractional operator. We find out the solutions for temperature, concentration and velocity fields by using modified Laplace transform and investigated the impact of the order α and ρ on temperature, concentration and velocity fields respectively. From the graphical results, we have seen that both the α and ρ have reverse effect on the fluid flow properties. In consequence, it is observed that flow properties of present model can be enhanced near the plate for smaller and larger values of ρ. Furthermore, we have compared the present results with the existing literature for the validation and found that they are in good agreement.

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