Effects of chemical reaction, viscosity, thermal conductivity, heat source, radiation/absorption, on MHD mixed convection nano-fluids flow over an unsteady stretching sheet by HAM and numerical method
Investigations are performed for further observations of heat and mass transfer in magneto-hydrodynamic mixed-convectional nano-fluid flow with the assumption of variable viscosity and thermal-conductivity over an unsteady stretching sheet. Base fluid is Carboxy-methyl cellulose (CMC) water as a car...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SAGE Publishing
2022-01-01
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| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1177/16878140221074301 |
| _version_ | 1798019689059713024 |
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| author | Sajid Rehman Taza Gul Waris Khan Aamir Khan Zeeshan |
| author_facet | Sajid Rehman Taza Gul Waris Khan Aamir Khan Zeeshan |
| author_sort | Sajid Rehman |
| collection | DOAJ |
| description | Investigations are performed for further observations of heat and mass transfer in magneto-hydrodynamic mixed-convectional nano-fluid flow with the assumption of variable viscosity and thermal-conductivity over an unsteady stretching sheet. Base fluid is Carboxy-methyl cellulose (CMC) water as a carrier fluid with different nano-particles such as Ti O 2 (Titanium), Ag (Silver), A l 2 O 3 (Aluminum), and Cu (Copper). Flow contains different physical parameters, such as heat source, chemical reaction effect, Schmidt number, and radiation absorptions effects are observed to be significant in the presences of magnetic field. Obtained equations are solved by numerically BVP4C-package (shooting method) and analytically by BVPh2.0-package (Homotopy Analysis Method “HAM”). Interested physical quantities are, viscosity-parameter ( A ), Thermal-conductivity parameter ( N ),Thermocapillary-number ( M ), Hartmann-number (Ma), Prandtl-number (Pr), 4-nano-particles ( ϕ ), temperature Grashof number ( G r t ), and mass Grashof number ( G r c ) are the focus to the velocity, temperature, and solute concentration profiles. It is concluded that, Solute concentration of ( A l 2 O 3 )-water has higher than the other 3-nano-fluids. Mass flux, heat flux, and Skin friction of fluids are direct functions of magnetic force, while inverse function of temperature. Magnetic force also decreased the speed of fluids and hence mass flux reduced which implies that, the temperature reduces. G r t has also inverse relation with mass flux, heat flux, and skin friction, while direct relation with the speed of fluids. Similarly, G r c has inverse relation with − Φ ′ ( 0 ) , − θ ′ ( 0 ) , and − f ″ ( 0 ) , but direct relation with θ ( 1 ) . Different results are shown in graphical and tabular form. |
| first_indexed | 2024-04-11T16:44:56Z |
| format | Article |
| id | doaj.art-5240e4da297f402cbce1054efbbf184c |
| institution | Directory Open Access Journal |
| issn | 1687-8140 |
| language | English |
| last_indexed | 2024-04-11T16:44:56Z |
| publishDate | 2022-01-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj.art-5240e4da297f402cbce1054efbbf184c2022-12-22T04:13:36ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402022-01-011410.1177/16878140221074301Effects of chemical reaction, viscosity, thermal conductivity, heat source, radiation/absorption, on MHD mixed convection nano-fluids flow over an unsteady stretching sheet by HAM and numerical methodSajid Rehman0Taza Gul1Waris Khan2Aamir Khan3 Zeeshan4Department of Mathematics, Islamia College Peshawar, Peshawar, PakistanDepartment of Mathematics, City University of Science and Information Technology, Peshawar, PakistanDepartment of Mathematics and Statistics, Hazara University Mansehra, Dhodial, PakistanDepartment of Pure and Applied Mathematics, University of Haripur, Haripur, PakistanDepartment of Mathematics and Statistics, Bacha Khan University Charsadda, Charsadda, PakistanInvestigations are performed for further observations of heat and mass transfer in magneto-hydrodynamic mixed-convectional nano-fluid flow with the assumption of variable viscosity and thermal-conductivity over an unsteady stretching sheet. Base fluid is Carboxy-methyl cellulose (CMC) water as a carrier fluid with different nano-particles such as Ti O 2 (Titanium), Ag (Silver), A l 2 O 3 (Aluminum), and Cu (Copper). Flow contains different physical parameters, such as heat source, chemical reaction effect, Schmidt number, and radiation absorptions effects are observed to be significant in the presences of magnetic field. Obtained equations are solved by numerically BVP4C-package (shooting method) and analytically by BVPh2.0-package (Homotopy Analysis Method “HAM”). Interested physical quantities are, viscosity-parameter ( A ), Thermal-conductivity parameter ( N ),Thermocapillary-number ( M ), Hartmann-number (Ma), Prandtl-number (Pr), 4-nano-particles ( ϕ ), temperature Grashof number ( G r t ), and mass Grashof number ( G r c ) are the focus to the velocity, temperature, and solute concentration profiles. It is concluded that, Solute concentration of ( A l 2 O 3 )-water has higher than the other 3-nano-fluids. Mass flux, heat flux, and Skin friction of fluids are direct functions of magnetic force, while inverse function of temperature. Magnetic force also decreased the speed of fluids and hence mass flux reduced which implies that, the temperature reduces. G r t has also inverse relation with mass flux, heat flux, and skin friction, while direct relation with the speed of fluids. Similarly, G r c has inverse relation with − Φ ′ ( 0 ) , − θ ′ ( 0 ) , and − f ″ ( 0 ) , but direct relation with θ ( 1 ) . Different results are shown in graphical and tabular form.https://doi.org/10.1177/16878140221074301 |
| spellingShingle | Sajid Rehman Taza Gul Waris Khan Aamir Khan Zeeshan Effects of chemical reaction, viscosity, thermal conductivity, heat source, radiation/absorption, on MHD mixed convection nano-fluids flow over an unsteady stretching sheet by HAM and numerical method Advances in Mechanical Engineering |
| title | Effects of chemical reaction, viscosity, thermal conductivity, heat source, radiation/absorption, on MHD mixed convection nano-fluids flow over an unsteady stretching sheet by HAM and numerical method |
| title_full | Effects of chemical reaction, viscosity, thermal conductivity, heat source, radiation/absorption, on MHD mixed convection nano-fluids flow over an unsteady stretching sheet by HAM and numerical method |
| title_fullStr | Effects of chemical reaction, viscosity, thermal conductivity, heat source, radiation/absorption, on MHD mixed convection nano-fluids flow over an unsteady stretching sheet by HAM and numerical method |
| title_full_unstemmed | Effects of chemical reaction, viscosity, thermal conductivity, heat source, radiation/absorption, on MHD mixed convection nano-fluids flow over an unsteady stretching sheet by HAM and numerical method |
| title_short | Effects of chemical reaction, viscosity, thermal conductivity, heat source, radiation/absorption, on MHD mixed convection nano-fluids flow over an unsteady stretching sheet by HAM and numerical method |
| title_sort | effects of chemical reaction viscosity thermal conductivity heat source radiation absorption on mhd mixed convection nano fluids flow over an unsteady stretching sheet by ham and numerical method |
| url | https://doi.org/10.1177/16878140221074301 |
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