Double dispersion effects on non-Darcy free convective boundary layer flow of a nanofluid over vertical frustum of a cone with convective boundary condition

• Main Authors: RamReddy Ch., Venkata Rao Ch.
• Format: Article
• Language: English
• Published: De Gruyter 2017-12-01
• Series: Nonlinear Engineering
• Subjects: nanofluid; vertical frustum of a cone; convective boundary condition; double dispersion; non-darcy porous medium; bivariate pseudo-spectral local linearisation method
• Online Access: https://doi.org/10.1515/nleng-2016-0071
• ISSN: 2192-8010; 2192-8029

In this paper, a numerical analysis is performed to investigate the effects of double dispersion and convective boundary condition on natural convection flow over vertical frustum of a cone in a nanofluid saturated non-Darcy porous medium. In addition, Brownian motion and thermophoresis effects have taken into consideration, and the uniform wall nanoparticle condition is replaced with the zero nanoparticle mass flux boundary condition to execute physically applicable results. For this complex problem, the similarity solution does not exist and hence suitable non-similarity transformations are used to transform the governing equations along with the boundary conditions into non-dimensional form. The Bivariate Pseudo-Spectral Local Linearisation Method (BPSLLM) is used to solve the reduced non-similar, coupled partial differential equations. To test the accuracy of proposed method, the error analysis and convergence tests are conducted. The effect of flow influenced parameters on non-dimensional velocity, temperature, nanoparticle volume fraction, regular concentration field as well as on the surface drag, heat transfer, nanoparticle and regular mass transfer rates are analyzed.