Analysis of variable mass diffusivity in Maxwell's fluid with Cattaneo-Christov and nonlinear stratification
This investigation consists of Maxwell's fluid which describes rate type non-Newtonian fluid in best; it has great applications in engineering, technology and industry. Linear stretching sheet generates the flow in fluid. Flow momentum is measured with MHD effect. When Fourier's and Fick&#...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-12-01
|
| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844022031383 |
| _version_ | 1797960990508187648 |
|---|---|
| author | Iffat Jabeen S. Ahmad Aisha Anjum M. Farooq |
| author_facet | Iffat Jabeen S. Ahmad Aisha Anjum M. Farooq |
| author_sort | Iffat Jabeen |
| collection | DOAJ |
| description | This investigation consists of Maxwell's fluid which describes rate type non-Newtonian fluid in best; it has great applications in engineering, technology and industry. Linear stretching sheet generates the flow in fluid. Flow momentum is measured with MHD effect. When Fourier's and Fick's laws are incorporated relaxation time factor then known as Cattaneo-Christov model which are implemented for heat and mass transport. The features of heat source or sink and non-linear type thermal stratification are employed with variable thermal conductivity. The features of chemical reaction and non-linear type solutal stratification are analyzed along with variable mass diffusivity. By the usage of boundary layer phenomenality in this problem, non-linear PDEs are achieved. These equations are transmuted into non-linear and non-homogeneous differential equations ramified with ordinary derivatives after applying similarity transformations. The most exclusive homotopic analysis method is used to get the analytic solutions of nonlinear and non-dimensional governing equations. The significant results of progressive parameters are dominant in this investigation. The arising parameters are examined in detail and results are shown graphically. It is found out that with the increment of time relaxation factor velocity, temperature and concentration profiles reduce. It increases the viscoelastic impacts related to stress relaxation time which makes viscoelastic materials more durable. |
| first_indexed | 2024-04-11T00:52:29Z |
| format | Article |
| id | doaj.art-a2bae3e76c04432bb7f80f4a6b7ed130 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-04-11T00:52:29Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-a2bae3e76c04432bb7f80f4a6b7ed1302023-01-05T08:37:09ZengElsevierHeliyon2405-84402022-12-01812e11850Analysis of variable mass diffusivity in Maxwell's fluid with Cattaneo-Christov and nonlinear stratificationIffat Jabeen0S. Ahmad1Aisha Anjum2M. Farooq3Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, PakistanDepartment of Mathematics, Riphah International University, Islamabad 44000, Pakistan; Corresponding author.Department of Mathematics, National University of Modern Languages, Islamabad, PakistanDepartment of Pure and Applied Mathematics, The University of Haripur, Haripur, KPK, PakistanThis investigation consists of Maxwell's fluid which describes rate type non-Newtonian fluid in best; it has great applications in engineering, technology and industry. Linear stretching sheet generates the flow in fluid. Flow momentum is measured with MHD effect. When Fourier's and Fick's laws are incorporated relaxation time factor then known as Cattaneo-Christov model which are implemented for heat and mass transport. The features of heat source or sink and non-linear type thermal stratification are employed with variable thermal conductivity. The features of chemical reaction and non-linear type solutal stratification are analyzed along with variable mass diffusivity. By the usage of boundary layer phenomenality in this problem, non-linear PDEs are achieved. These equations are transmuted into non-linear and non-homogeneous differential equations ramified with ordinary derivatives after applying similarity transformations. The most exclusive homotopic analysis method is used to get the analytic solutions of nonlinear and non-dimensional governing equations. The significant results of progressive parameters are dominant in this investigation. The arising parameters are examined in detail and results are shown graphically. It is found out that with the increment of time relaxation factor velocity, temperature and concentration profiles reduce. It increases the viscoelastic impacts related to stress relaxation time which makes viscoelastic materials more durable.http://www.sciencedirect.com/science/article/pii/S2405844022031383Maxwell's fluidVariable thermal conductivityVariable mass diffusivityDouble non-linear stratificationHeat generation/absorptionLinear stretching |
| spellingShingle | Iffat Jabeen S. Ahmad Aisha Anjum M. Farooq Analysis of variable mass diffusivity in Maxwell's fluid with Cattaneo-Christov and nonlinear stratification Heliyon Maxwell's fluid Variable thermal conductivity Variable mass diffusivity Double non-linear stratification Heat generation/absorption Linear stretching |
| title | Analysis of variable mass diffusivity in Maxwell's fluid with Cattaneo-Christov and nonlinear stratification |
| title_full | Analysis of variable mass diffusivity in Maxwell's fluid with Cattaneo-Christov and nonlinear stratification |
| title_fullStr | Analysis of variable mass diffusivity in Maxwell's fluid with Cattaneo-Christov and nonlinear stratification |
| title_full_unstemmed | Analysis of variable mass diffusivity in Maxwell's fluid with Cattaneo-Christov and nonlinear stratification |
| title_short | Analysis of variable mass diffusivity in Maxwell's fluid with Cattaneo-Christov and nonlinear stratification |
| title_sort | analysis of variable mass diffusivity in maxwell s fluid with cattaneo christov and nonlinear stratification |
| topic | Maxwell's fluid Variable thermal conductivity Variable mass diffusivity Double non-linear stratification Heat generation/absorption Linear stretching |
| url | http://www.sciencedirect.com/science/article/pii/S2405844022031383 |
| work_keys_str_mv | AT iffatjabeen analysisofvariablemassdiffusivityinmaxwellsfluidwithcattaneochristovandnonlinearstratification AT sahmad analysisofvariablemassdiffusivityinmaxwellsfluidwithcattaneochristovandnonlinearstratification AT aishaanjum analysisofvariablemassdiffusivityinmaxwellsfluidwithcattaneochristovandnonlinearstratification AT mfarooq analysisofvariablemassdiffusivityinmaxwellsfluidwithcattaneochristovandnonlinearstratification |