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Sohail M, Nazir U, Singh A, Tulu A, Khan MJ. Finite element analysis of cross fluid model over a vertical disk suspended to a tetra hybrid nanoparticles mixture. Sci Rep 2024; 14:1520. [PMID: 38233448 PMCID: PMC10794221 DOI: 10.1038/s41598-024-51262-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/09/2023] [Accepted: 01/02/2024] [Indexed: 01/19/2024] Open
Abstract
Nanoparticles have numerous applications and are used frequently in different cooling, heating, treatment of cancer cells and manufacturing processes. The current investigation covers the utilization of tetra hybrid nanofluid (aluminum oxide, iron dioxide, titanium dioxide and copper) for Crossflow model over a vertical disk by considering the shape effects (bricks, cylindrical and platelet) of nanoparticles, electro-magneto-hydrodynamic effect and quadratic thermal radiation. In the current inspection model is first derived given PD-equations and then altered into a system of OD-equations by including similarity variables. The converted ordinary differential equations are solved by using the finite element procedure and the impact of the solution against numerous involved parameters is displayed through tables and graphs. It is observed that tetra-hybrid nanoparticles are recommended better in industrial applications where the highest production of thermal energy. Moreover, an enhancement of thermal production can be achieved utilizing different values of the magnetic parameter, time relaxation number, variable thermal radiation number and magnetic induction number but the opposite trend has been noticed with the effects of radiation number.
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Affiliation(s)
- Muhammad Sohail
- Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, 64200, Pakistan.
| | - Umar Nazir
- Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand
| | - Abha Singh
- Department of Basic Sciences, College of Sciences and Theoretical Studies, Dammam-Branch, Saudi Electronic University, Riyadh, Saudi Arabia
| | - Ayele Tulu
- Department of Mathematics, CNCS Ambo University, Ambo, Ethiopia.
| | - Muhammad Jahangir Khan
- Department of Advance Materials and Technologies, Faculty of Materials Engineering, Silesian University of Technology, 44-100, Gliwice, Poland
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Galal AM, Alharbi FM, Arshad M, Alam MM, Abdeljawad T, Al-Mdallal QM. Numerical investigation of heat and mass transfer in three-dimensional MHD nanoliquid flow with inclined magnetization. Sci Rep 2024; 14:1207. [PMID: 38216633 PMCID: PMC10786949 DOI: 10.1038/s41598-024-51195-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/29/2023] [Accepted: 01/02/2024] [Indexed: 01/14/2024] Open
Abstract
Heat and mass transfer rate by using nanofluids is a fundamental aspect of numerous industrial processes. Its importance extends to energy efficiency, product quality, safety, and environmental responsibility, making it a key consideration for industries seeking to improve their operations, reduce costs, and meet regulatory requirements. So, the principal objective of this research is to analyze the heat and mass transfer rate for three-dimensional magneto hydrodynamic nanoliquid movement with thermal radiation and chemical reaction over the dual stretchable surface in the existence of an inclined magnetization, and viscous dissipation. The flow is rotating with constant angular speed [Formula: see text] about the axis of rotation because such flows occur in the chemical processing industry and the governing equations of motion, energy, and concentration are changed to ODEs by transformation. The complex and highly nonlinear nature of these equations makes them impractical to solve analytically so tackled numerically at MATLAB. The obtained numerical results are validated with literature and presented through graphs and tables. Increasing the Eckert number from [Formula: see text] a higher Nusselt and Sherwood number was noted for the hybrid nanofluid. By changing the angle of inclination [Formula: see text], the [Formula: see text] performance is noted at 8% for nanofluid and 33% for hybrid nanofluid. At the same time, [Formula: see text] performance of 0.5% and 2.0% are observed respectively. Additionally, as the angle of inclination increases the skin friction decreases and the chemical reaction rate increases the mass transmission rate.
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Affiliation(s)
- Ahmed M Galal
- Department of Mechanical Engineering, College of Engineering in Wadi Alddawasir, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia
- Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, P. O 35516, Mansoura, Egypt
| | - Fahad M Alharbi
- Department of Mathematics, Al-Qunfudah University College, Umm Al-Qura University, Mecca, Saudi Arabia
| | - Mubashar Arshad
- Department of Mathematics, University of Gujrat, Gujrat, 50700, Pakistan.
- Institute for Numerical and Applied Mathematics, University of Göttingen, 37083, Göttingen, Germany.
- Department of Mathematics, Abbottabad University of Science & Technology, Abbottabad, 22500, Pakistan.
| | - Mohammad Mahtab Alam
- Department of Basic Medical Sciences, College of Applied Medical Science, King Khalid University, 61421, Abha, Saudi Arabia
| | - Thabet Abdeljawad
- Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586, Riyadh, Saudi Arabia.
- Department of Medical Research, China Medical University, Taichung, 40402, Taiwan.
- Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Garankuwa, 0204, Medusa, South Africa.
| | - Qasem M Al-Mdallal
- Department of Mathematical Sciences, UAE University, P.O. Box 15551, Al Ain, United Arab Emirates.
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Bilal M, Waqas M, Shafi J, Rahman MU, Eldin SM, Alaoui MK. Energy transmission through radiative ternary nanofluid flow with exponential heat source/sink across an inclined permeable cylinder/plate: numerical computing. Sci Rep 2023; 13:22204. [PMID: 38097756 PMCID: PMC10721627 DOI: 10.1038/s41598-023-49481-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/02/2023] [Accepted: 12/08/2023] [Indexed: 12/17/2023] Open
Abstract
The steady two-dimension (2D) ternary nanofluid (TNF) flow across an inclined permeable cylinder/plate is analyzed in the present study. The TNF flow has been examined under the consequences of heat source/sink, permeable medium and mixed convection. For the preparation of TNF, the magnesium oxide (MgO), cobalt ferrite (CoFe2O4) and titanium dioxide (TiO2) are dispersed in water. The rising need for highly efficient cooling mechanisms in several sectors and energy-related processes ultimately inspired the current work. The fluid flow and energy propagation is mathematically described in the form of coupled PDEs. The system of PDEs is reduced into non-dimensional forms of ODEs, which are further numerically handled through the Matlab package (bvp4c). It has been observed that the results display that the porosity factor advances the thermal curve, whereas drops the fluid velocity. The effect of heat source/sink raises the energy field. Furthermore, the plate surface illustrates a leading behavior of energy transport over cylinder geometry versus the variation of ternary nanoparticles (NPs). The energy dissemination rate in the cylinder enhances from 4.73 to 11.421%, whereas for the plate, the energy distribution rate boosts from 6.37 to 13.91% as the porosity factor varies from 0.3 to 0.9.
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Affiliation(s)
- Muhammad Bilal
- Department of Mathematics, Sheikh Taimur Academic Block-II, University of Peshawar, Peshawar, 25120, Khyber Pakhtunkhwa, Pakistan
| | - Muhammad Waqas
- Mathematics Department, City University of Science and Information Technology, Peshawar, 25000, Pakistan
| | - Jana Shafi
- Department of Computer Science, College of Arts and Science, Prince Sattam bin Abdul Aziz University, 11991, Wadi Ad-Dawasir, Saudi Arabia
| | - Mati Ur Rahman
- Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon.
- School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, China.
| | - Sayed M Eldin
- Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo, 11835, Egypt
| | - Mohammed Kbiri Alaoui
- Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, 61413, Abha, Saudi Arabia
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Mixed convective flow of CNTs nanofluid subject to varying viscosity and reactions. Sci Rep 2021; 11:22838. [PMID: 34819552 PMCID: PMC8613276 DOI: 10.1038/s41598-021-02228-9] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/24/2021] [Accepted: 11/01/2021] [Indexed: 11/30/2022] Open
Abstract
The addressed work explains SWCNTs (Single walled carbon nanotubnes) and MWCNTs (Multi walled carbon nanotubnes) nanofluid flow under the influences of temperature dependent viscosity and mixed convection. Comparative study of SWCNTs and MWCNTs suspended in base liquid is presented. Further heat and mass transfer are addressed for nanofluid effected by radiation, heat generation/absorption and diffusion species. Mathematical development of problem is taken in cylindrical coordinates. System of highly nonlinear differential equations are constructed via appropriate transformations. The system of equations are tackled numerically by bvp4c MATLAB solver. The findings of the study show that larger volume fraction \documentclass[12pt]{minimal}
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