Significance of viscosity and thermal conductivity variation parameters on the dynamics of Newtonian fluid conveying tiny particles over a convectively heated surface
The significance of viscosity and thermal conductivity variation parameters on the dynamics of Newtonian fluid conveying tiny particles over a convectively heated surface is examined. The dimensional partial differential equations controlling the flow are remodeled to ordinary differential equations...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2021-12-01
|
| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818121000577 |
| _version_ | 1818462077212164096 |
|---|---|
| author | O.A. Famakinwa O.K. Koriko K.S. Adegbie A.J. Omowaye |
| author_facet | O.A. Famakinwa O.K. Koriko K.S. Adegbie A.J. Omowaye |
| author_sort | O.A. Famakinwa |
| collection | DOAJ |
| description | The significance of viscosity and thermal conductivity variation parameters on the dynamics of Newtonian fluid conveying tiny particles over a convectively heated surface is examined. The dimensional partial differential equations controlling the flow are remodeled to ordinary differential equations via suitable similarity variables in conjunction with the rescaled Nusselt, Sherwood and density number of motile microorganisms. The resulting nonlinear coupled ordinary differential equations are consequently scaled down to a system of first order ordinary differential equations. The system of equations are evaluated arithmetically via shooting technique along with fourth order Runge–Kutta integration scheme for different boundary conditions. The result was found to be in excellent agreement when compared with available records in the literature. The major highlights of the problem are analyzed and discussed thoroughly. It is seen that increase in viscosity variation parameter is capable to cause a decline in the local skin friction coefficients at the rate of −0.04985and the Nusselt number is an increasing function of the thermal conductivity variation parameter. |
| first_indexed | 2024-12-14T23:56:18Z |
| format | Article |
| id | doaj.art-dc8eace408ba46b3a0d9c99da8648d23 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-12-14T23:56:18Z |
| publishDate | 2021-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-dc8eace408ba46b3a0d9c99da8648d232022-12-21T22:43:06ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812021-12-014100106Significance of viscosity and thermal conductivity variation parameters on the dynamics of Newtonian fluid conveying tiny particles over a convectively heated surfaceO.A. Famakinwa0O.K. Koriko1K.S. Adegbie2A.J. Omowaye3Corresponding author.; Department of Mathematical Sciences, Federal University of Technology, Akure, NigeriaDepartment of Mathematical Sciences, Federal University of Technology, Akure, NigeriaDepartment of Mathematical Sciences, Federal University of Technology, Akure, NigeriaDepartment of Mathematical Sciences, Federal University of Technology, Akure, NigeriaThe significance of viscosity and thermal conductivity variation parameters on the dynamics of Newtonian fluid conveying tiny particles over a convectively heated surface is examined. The dimensional partial differential equations controlling the flow are remodeled to ordinary differential equations via suitable similarity variables in conjunction with the rescaled Nusselt, Sherwood and density number of motile microorganisms. The resulting nonlinear coupled ordinary differential equations are consequently scaled down to a system of first order ordinary differential equations. The system of equations are evaluated arithmetically via shooting technique along with fourth order Runge–Kutta integration scheme for different boundary conditions. The result was found to be in excellent agreement when compared with available records in the literature. The major highlights of the problem are analyzed and discussed thoroughly. It is seen that increase in viscosity variation parameter is capable to cause a decline in the local skin friction coefficients at the rate of −0.04985and the Nusselt number is an increasing function of the thermal conductivity variation parameter.http://www.sciencedirect.com/science/article/pii/S2666818121000577ViscosityThermal conductivityNewtonian fluidTiny particlesConvective surface |
| spellingShingle | O.A. Famakinwa O.K. Koriko K.S. Adegbie A.J. Omowaye Significance of viscosity and thermal conductivity variation parameters on the dynamics of Newtonian fluid conveying tiny particles over a convectively heated surface Partial Differential Equations in Applied Mathematics Viscosity Thermal conductivity Newtonian fluid Tiny particles Convective surface |
| title | Significance of viscosity and thermal conductivity variation parameters on the dynamics of Newtonian fluid conveying tiny particles over a convectively heated surface |
| title_full | Significance of viscosity and thermal conductivity variation parameters on the dynamics of Newtonian fluid conveying tiny particles over a convectively heated surface |
| title_fullStr | Significance of viscosity and thermal conductivity variation parameters on the dynamics of Newtonian fluid conveying tiny particles over a convectively heated surface |
| title_full_unstemmed | Significance of viscosity and thermal conductivity variation parameters on the dynamics of Newtonian fluid conveying tiny particles over a convectively heated surface |
| title_short | Significance of viscosity and thermal conductivity variation parameters on the dynamics of Newtonian fluid conveying tiny particles over a convectively heated surface |
| title_sort | significance of viscosity and thermal conductivity variation parameters on the dynamics of newtonian fluid conveying tiny particles over a convectively heated surface |
| topic | Viscosity Thermal conductivity Newtonian fluid Tiny particles Convective surface |
| url | http://www.sciencedirect.com/science/article/pii/S2666818121000577 |
| work_keys_str_mv | AT oafamakinwa significanceofviscosityandthermalconductivityvariationparametersonthedynamicsofnewtonianfluidconveyingtinyparticlesoveraconvectivelyheatedsurface AT okkoriko significanceofviscosityandthermalconductivityvariationparametersonthedynamicsofnewtonianfluidconveyingtinyparticlesoveraconvectivelyheatedsurface AT ksadegbie significanceofviscosityandthermalconductivityvariationparametersonthedynamicsofnewtonianfluidconveyingtinyparticlesoveraconvectivelyheatedsurface AT ajomowaye significanceofviscosityandthermalconductivityvariationparametersonthedynamicsofnewtonianfluidconveyingtinyparticlesoveraconvectivelyheatedsurface |