Influence of Wall Properties on the Peristaltic Flow of a Nanofluid in View of the Exact Solutions: Comparisons with Homotopy Analysis Method
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Abdelhalim Ebaid
and
Salem H. Alatawi
No doubt, the exact solution of any physical system is considered optimal when it is available. Such exact solution is of great importance not only in validating the accuracy of the approximate solution obtained for the same problem but also to derive the correct physical interpretation of the involved physical phenomena. In this paper, the system of linear and nonlinear partial differential equations describing the peristaltic flow of a nanofluid in a channel with compliant walls has been solved exactly. These exact solutions have been implemented to explore the exact effects of Prandtl number Pr, thermophoresis parameter NT, Brownian motion parameter NB, and Eckert number Ec on the temperature, the nanoparticle concentration profiles, and the heat transfer coefficient Z(x). In addition, the exact results have been compared with a very recent work via the homotopy analysis method for the same problem. Although these comparisons showed that the published approximate results coincide with the current exact analysis, a few remarkable differences have been detected for the behaviour of the heat transfer coefficient.
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Articles in the same Issue
- Invariance, Conservation Laws, and Exact Solutions of the Nonlinear Cylindrical Fin Equation
- Influence of Wall Properties on the Peristaltic Flow of a Nanofluid in View of the Exact Solutions: Comparisons with Homotopy Analysis Method
- Analyses of S-Box in Image Encryption Applications Based on Fuzzy Decision Making Criterion
- Theoretical Study of the Electronic Spectrum of Disulfur Monoxide
- The Gravitational Origin of the Higgs Boson Mass
- Optimal Campaign Strategies in Fractional-Order Smoking Dynamics
- First Exact Solutions for Flows of Rate Type Fluids in a Circular Duct that Applies a Constant Couple to the Fluid
- Multi-Soliton Solutions and Interaction for a Generalized Variable- Coefficient Calogero–Bogoyavlenskii–Schiff Equation
- Stego Optical Encryption Based on Chaotic Baker’s Map Transformation
- A Systematic Investigation on Magnetism and Phase Stability of Cobalt
- A Comparative Study Between two Explicit and Minimal Strategies for the Case of Magnetohydrodynamical Falkner–Skan Flow over a Permeable Wall
- Regarding ‘Information Preservation and Weather Forecasting for Black Holes’ by S. W. Hawking
