https://doi.org/10.1140/epjp/s13360-022-02586-x
Regular Article
Effect of heat transfer on Jeffery–Hamel Cu/Ag–water nanofluid flow with uncertain volume fraction using the double parametric fuzzy homotopy analysis method
Department of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology Surat, 395 007, Surat, Gujarat, India
Received:
3
January
2022
Accepted:
7
March
2022
Published online:
21
March
2022
This work discusses heat transfer effects on magnetohydrodynamics Jeffery–Hamel nanofluid flow with various nanoparticles, namely copper Cu and silver Ag. This work extends the simple Jeffery–Hamel flow problems to MHD nanofluid flow problems with heat transfer with two different nanoparticles to study the impact of thermal profiles on the fuzzy velocity profiles with uncertain volume fractions. The nanoparticle volume fraction is an uncertain parameter ranging from 0.0 to 0.05 and is discussed using a triangular fuzzy number. The fuzzy volume fraction can investigate the fluctuations of fuzzy velocity and temperature profiles under different parameters and variables. We present a novel double parametric form-based homotopy analysis method with its convergence analysis to investigate the impact of nanoparticles uncertain volume fraction on fuzzy velocities and temperature profiles in both convergent and divergent channel positions. The convergence analysis of the form is used to demonstrate the efficiency of the process, obtain the fuzzy velocities at different channel positions, and compare the velocity bounds at other channel locations. Finally, we validate the obtained results with the previously published results, in particular cases of crisp environment for validation.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
