Abstract
This work analyses the features of nanofluid flow and thermal transmission (NFTT) in a rectangular channel which is asymmetric by developing two numerical algorithms based on scale‐2 Haar wavelets (S2HWs), Lagrange’s interpolation differential quadrature technique (LIDQT), and quasilinearization process (QP). In the simulation procedure, first of all, using similarity transformation (ST), the governing unsteady 2D flow model is changed into two highly non‐linear ODEs. After that, QP is applied to linearize the non‐linear ODEs, and finally S2HWs and LIDQT are used to simulate the non‐linear system of ODEs. In results and discussion section, the parameters Reynolds number (R), expansion ratio and Nusselt (Nu), and nanoparticle volume fraction (φ) are analysed with respect to velocity and temperature profiles. The proposed techniques are easy to implement for fluid and heat transfer (FHT) problems.
Highlights
In current century, the fluid flow and heat transfer (FFHT) are regarded as the extremely crucial problems of engineering and industries. is is the main reason that nanofluid flow and thermal transmission (NFTT) is a hot area of research amongst engineers and research community
Sheikholeslami Kandelousi [1] used the Runge–Kutta 4th order (RK4) scheme to study the characteristics of NFTT between two horizontal parallel plates. e study reflects that heat transmission (HT) growth increases as we increase Reynolds number when m 0, but the adverse tendency is inspected for different values of power law index m
In results and discussion section, the parameters Reynolds number (R), expansion ratio and Nusselt (Nu), and nanoparticle volume fraction (φ) are analysed with respect to velocity and temperature profiles. e proposed techniques are easy to implement than the techniques available in the literature [3, 7, 16, 17] for fluid and heat transfer problems
Summary
The fluid flow and heat transfer (FFHT) are regarded as the extremely crucial problems of engineering and industries. is is the main reason that NFTT is a hot area of research amongst engineers and research community. E study reflects that heat transmission (HT) growth increases as we increase Reynolds number when m 0, but the adverse tendency is inspected for different values of power law index m Ahmed and his group [2] studied the magneto-hydrodynamic (MHD) fluid flow problem in a domain of rectangular shape. Ahmed et al [3] examined the NFTT in a rectangular channel with the help of the Galerkin method, while Hatami and his associates [4] studied the NFTT between two parallel plates by using the Galerkin and the least square methods Khan and his group [5, 6] simulated the NFTT model with CNT-based nanofluids in non-parallel stretchable walls under the effects of velocity slip in a channel using differential transform (DT) and Runge–Kutta–Fehlberg schemes. In results and discussion section, the parameters Reynolds number (R), expansion ratio and Nusselt (Nu), and nanoparticle volume fraction (φ) are analysed with respect to velocity and temperature profiles. e proposed techniques are easy to implement than the techniques available in the literature [3, 7, 16, 17] for fluid and heat transfer problems
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