Application of response surface methodology to optimize MHD nanofluid flow over a rotating disk with thermal radiation and joule heating
The current study represents a sensitivity analysis of the flow of gold nanoparticles in blood over a rotating disk with the combined impacts of viscous dissipation, nonlinear thermal radiation, joule heating, and slippage using response surface methodology. We use response surface methodology to in...
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-12-01
|
| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X23010213 |
| _version_ | 1797422563095216128 |
|---|---|
| author | Shahid Hussain Aamir Ali Kianat Rasheed Amjad Ali Pasha Salem Algarni Talal Alqahtani Kashif Irshad |
| author_facet | Shahid Hussain Aamir Ali Kianat Rasheed Amjad Ali Pasha Salem Algarni Talal Alqahtani Kashif Irshad |
| author_sort | Shahid Hussain |
| collection | DOAJ |
| description | The current study represents a sensitivity analysis of the flow of gold nanoparticles in blood over a rotating disk with the combined impacts of viscous dissipation, nonlinear thermal radiation, joule heating, and slippage using response surface methodology. We use response surface methodology to investigate the relationships between the model's parameters (the input parameters), and the response variables. Response Surface Methodology is a useful method for finding the best values for the input parameters that improve the output. It can also help researchers create a list of experiments to predict the output. We often use response surface methodology with sensitivity analysis to see how the output depends on the input parameters and to suggest the optimal values of them. After incorporating the effects of MHD, viscous dissipation, nonlinear thermal radiation, and joule heating, the boundary layer flow equations are solved using NDSolve command of Mathematica. The influences of dimensionless parameters on all flow profiles and physical quantities are presented and discussed. The arithmetic has been considered for a specific range of values for the apparent parameters in order to calculate and analyze the physical quantities of interest for various relevant parameters, for instance 2≤M≤5, 0≤β≤2, 0.6≤A≤1.5, 0.1≤Br≤0.65, 0.5≤δ≤2, 0≤φ≤0.15, 15≤Pr≤21, 0.1≤Rd≤1.5. For sensitivity analysis, we consider skin friction coefficient and local Nusselt number for three independent input parameter namely, the radial stretching rate, the magnetic field parameter, and the thermal slip parameter. After using the statistical measures such as residual quantile – quantile plots, hypothesis testing, and adjusted R2, we concluded that our models for the skin friction coefficient and local Nusselt number are best fitted. |
| first_indexed | 2024-03-09T07:34:05Z |
| format | Article |
| id | doaj.art-3da08aeba8554da38327530b92b2e2d7 |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-03-09T07:34:05Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-3da08aeba8554da38327530b92b2e2d72023-12-03T05:41:26ZengElsevierCase Studies in Thermal Engineering2214-157X2023-12-0152103715Application of response surface methodology to optimize MHD nanofluid flow over a rotating disk with thermal radiation and joule heatingShahid Hussain0Aamir Ali1Kianat Rasheed2Amjad Ali Pasha3Salem Algarni4Talal Alqahtani5Kashif Irshad6Department of Mathematics, COMSATS University Islamabad, Attock Campus, Kamra Road, Attock, 43600, PakistanDepartment of Mathematics, COMSATS University Islamabad, Attock Campus, Kamra Road, Attock, 43600, Pakistan; Corresponding author.Department of Mathematics, COMSATS University Islamabad, Attock Campus, Kamra Road, Attock, 43600, PakistanAerospace Engineering Department, King Abdulaziz University, Jeddah, 21589, Saudi ArabiaDepartment of Mechanical Engineering, King Khalid University, Abha, 61413, Saudi ArabiaDepartment of Mechanical Engineering, King Khalid University, Abha, 61413, Saudi ArabiaInterdisciplinary Research Center for Renewable Energy and Power System (IRC-REPS), Research Institute, King Fahd University of Petroleum and Minerals (KFUPM), Dhahran, 31261, Saudi ArabiaThe current study represents a sensitivity analysis of the flow of gold nanoparticles in blood over a rotating disk with the combined impacts of viscous dissipation, nonlinear thermal radiation, joule heating, and slippage using response surface methodology. We use response surface methodology to investigate the relationships between the model's parameters (the input parameters), and the response variables. Response Surface Methodology is a useful method for finding the best values for the input parameters that improve the output. It can also help researchers create a list of experiments to predict the output. We often use response surface methodology with sensitivity analysis to see how the output depends on the input parameters and to suggest the optimal values of them. After incorporating the effects of MHD, viscous dissipation, nonlinear thermal radiation, and joule heating, the boundary layer flow equations are solved using NDSolve command of Mathematica. The influences of dimensionless parameters on all flow profiles and physical quantities are presented and discussed. The arithmetic has been considered for a specific range of values for the apparent parameters in order to calculate and analyze the physical quantities of interest for various relevant parameters, for instance 2≤M≤5, 0≤β≤2, 0.6≤A≤1.5, 0.1≤Br≤0.65, 0.5≤δ≤2, 0≤φ≤0.15, 15≤Pr≤21, 0.1≤Rd≤1.5. For sensitivity analysis, we consider skin friction coefficient and local Nusselt number for three independent input parameter namely, the radial stretching rate, the magnetic field parameter, and the thermal slip parameter. After using the statistical measures such as residual quantile – quantile plots, hypothesis testing, and adjusted R2, we concluded that our models for the skin friction coefficient and local Nusselt number are best fitted.http://www.sciencedirect.com/science/article/pii/S2214157X23010213NanofluidHeat transferSensitivity analysisViscous dissipationResponse surface methodologyThermal radiation |
| spellingShingle | Shahid Hussain Aamir Ali Kianat Rasheed Amjad Ali Pasha Salem Algarni Talal Alqahtani Kashif Irshad Application of response surface methodology to optimize MHD nanofluid flow over a rotating disk with thermal radiation and joule heating Case Studies in Thermal Engineering Nanofluid Heat transfer Sensitivity analysis Viscous dissipation Response surface methodology Thermal radiation |
| title | Application of response surface methodology to optimize MHD nanofluid flow over a rotating disk with thermal radiation and joule heating |
| title_full | Application of response surface methodology to optimize MHD nanofluid flow over a rotating disk with thermal radiation and joule heating |
| title_fullStr | Application of response surface methodology to optimize MHD nanofluid flow over a rotating disk with thermal radiation and joule heating |
| title_full_unstemmed | Application of response surface methodology to optimize MHD nanofluid flow over a rotating disk with thermal radiation and joule heating |
| title_short | Application of response surface methodology to optimize MHD nanofluid flow over a rotating disk with thermal radiation and joule heating |
| title_sort | application of response surface methodology to optimize mhd nanofluid flow over a rotating disk with thermal radiation and joule heating |
| topic | Nanofluid Heat transfer Sensitivity analysis Viscous dissipation Response surface methodology Thermal radiation |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X23010213 |
| work_keys_str_mv | AT shahidhussain applicationofresponsesurfacemethodologytooptimizemhdnanofluidflowoverarotatingdiskwiththermalradiationandjouleheating AT aamirali applicationofresponsesurfacemethodologytooptimizemhdnanofluidflowoverarotatingdiskwiththermalradiationandjouleheating AT kianatrasheed applicationofresponsesurfacemethodologytooptimizemhdnanofluidflowoverarotatingdiskwiththermalradiationandjouleheating AT amjadalipasha applicationofresponsesurfacemethodologytooptimizemhdnanofluidflowoverarotatingdiskwiththermalradiationandjouleheating AT salemalgarni applicationofresponsesurfacemethodologytooptimizemhdnanofluidflowoverarotatingdiskwiththermalradiationandjouleheating AT talalalqahtani applicationofresponsesurfacemethodologytooptimizemhdnanofluidflowoverarotatingdiskwiththermalradiationandjouleheating AT kashifirshad applicationofresponsesurfacemethodologytooptimizemhdnanofluidflowoverarotatingdiskwiththermalradiationandjouleheating |