Research Article
Analytical and Numerical Resolution of Viscoelastic Upper-Convected Maxwell Fluid in Couette Flow with Thermal Effects
Issue:
Volume 10, Issue 2, June 2024
Pages:
25-30
Received:
5 August 2024
Accepted:
26 August 2024
Published:
20 September 2024
Abstract: The recent development of theoretical and experimental rheology, coupled with the increasing performance of computers, now allows us to have a different approach and to envisage numerical predictions on complex geometries. Unfortunately, with current differential models, simulations of viscoelastic fluids in complex geometries still run up against the limits of memory resources and prohibitive computational times. In this study, the commercial software Fluent used in combination with a calculation code developed in C++, via sub-programs defined by User Defined Functions and User Defined Scalars. The purpose of this study is to compare the results with the analytical solution; which makes it possible to validate the numerical results by using the code developed in C++ and also, to give an assurance to use this code in the numerical simulation of several problems in UCM fluid, which does not exist on the data base of the Fluent software. The results obtained in this study, shows the effectiveness of the code developed in C++.
Abstract: The recent development of theoretical and experimental rheology, coupled with the increasing performance of computers, now allows us to have a different approach and to envisage numerical predictions on complex geometries. Unfortunately, with current differential models, simulations of viscoelastic fluids in complex geometries still run up against ...
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Research Article
Hydromagnetic Nanofluid Flow Through Stretching Convergent-divergent Conduit with Heat and Mass Transfer
Paul Wachira Githaiga,
Mathew Ngugi Kinyanjui,
Roy Phineas Kiogora
Issue:
Volume 10, Issue 2, June 2024
Pages:
31-44
Received:
29 September 2024
Accepted:
22 October 2024
Published:
18 November 2024
Abstract: This present study investigates hydromagnetic non-Newtonian nanofluid flow past linearly stretching convergent-divergent conduit with variable magnetic field and variable thermal conductivity with skin friction, heat and mass transfer using spectral relaxation numerical technique. The nanofluid considered in this current study is electrically conducting which is subjected to constant pressure gradient and magnetic field considered to be variable applied at an angle. The two walls which are non-parallel are not intersecting so as to allow nanofluid to flow, the angle in between the non-parallel walls is θ. The equations governing the nanofluid flow are continuity, energy, magnetic induction and conservation of momentum equations. After modelling, the specific equations governing the nano-fluid flow are partial differential equations which are highly nonlinear, the specific equations are first transformed through similarity transformation into a systems of ordinary differential equations. The boundary value problem formed is solved numerically using spectral relaxation numerical technique. The results of effects of varying various dimensionless parameters of the model are represented graphically and results discussed at each stage. The knowledge of nanofluids can be used in nuclear power production where it acts as a coolant. In Africa, South Africa is the only country producing nuclear power for commercial use, different governments on the continent are exploring nuclear energy as a climate-friendly for power production to enhance industrialization even in rural areas. In nuclear power production, water is used as a coolant. Using nanofluid instead of water it could increase the thermophyical properties which increases the rate of cooling. The usage of nanofluids as a coolant could also be used in emergency cooling systems, where they could cool down overheat machines quickly leading to an efficient and improved power plant safety.
Abstract: This present study investigates hydromagnetic non-Newtonian nanofluid flow past linearly stretching convergent-divergent conduit with variable magnetic field and variable thermal conductivity with skin friction, heat and mass transfer using spectral relaxation numerical technique. The nanofluid considered in this current study is electrically condu...
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,
Faiza Brahimi
