Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels
Abstract The impact of Newtonian heating on a time-dependent fractional magnetohydrodynamic (MHD) Maxwell fluid over an unbounded upright plate is investigated. The equations for heat, mass and momentum are established in terms of Caputo (C), Caputo–Fabrizio (CF) and Atangana–Baleanu (ABC) fractiona...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-11-01
|
| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03658-5 |
| _version_ | 1818743785790636032 |
|---|---|
| author | Nazish Iftikhar Fatima Javed Muhammad Bilal Riaz Muhammad Abbas Abdullah M. Alsharif Y. S. Hamed |
| author_facet | Nazish Iftikhar Fatima Javed Muhammad Bilal Riaz Muhammad Abbas Abdullah M. Alsharif Y. S. Hamed |
| author_sort | Nazish Iftikhar |
| collection | DOAJ |
| description | Abstract The impact of Newtonian heating on a time-dependent fractional magnetohydrodynamic (MHD) Maxwell fluid over an unbounded upright plate is investigated. The equations for heat, mass and momentum are established in terms of Caputo (C), Caputo–Fabrizio (CF) and Atangana–Baleanu (ABC) fractional derivatives. The solutions are evaluated by employing Laplace transforms. The change in the momentum profile due to variability in the values of parameters is graphically illustrated for all three C, CF and ABC models. The ABC model has proficiently revealed a memory effect. |
| first_indexed | 2024-12-18T02:33:56Z |
| format | Article |
| id | doaj.art-2c08fa18d3fe4b7396c7a978564672c5 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-18T02:33:56Z |
| publishDate | 2021-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-2c08fa18d3fe4b7396c7a978564672c52022-12-21T21:23:50ZengSpringerOpenAdvances in Difference Equations1687-18472021-11-012021112010.1186/s13662-021-03658-5Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernelsNazish Iftikhar0Fatima Javed1Muhammad Bilal Riaz2Muhammad Abbas3Abdullah M. Alsharif4Y. S. Hamed5Department of Science & Humanities, National University of Computer and Emerging SciencesDepartment of Mathematics, University of LahoreInstitute for Groundwater Studies (IGS), University of the Free StateDepartment of Mathematics, University of SargodhaDepartment of Mathematics and Statistics, College of Science, Taif UniversityDepartment of Mathematics and Statistics, College of Science, Taif UniversityAbstract The impact of Newtonian heating on a time-dependent fractional magnetohydrodynamic (MHD) Maxwell fluid over an unbounded upright plate is investigated. The equations for heat, mass and momentum are established in terms of Caputo (C), Caputo–Fabrizio (CF) and Atangana–Baleanu (ABC) fractional derivatives. The solutions are evaluated by employing Laplace transforms. The change in the momentum profile due to variability in the values of parameters is graphically illustrated for all three C, CF and ABC models. The ABC model has proficiently revealed a memory effect.https://doi.org/10.1186/s13662-021-03658-5Maxwell fluidMHDFractional-order derivativesLaplace transformNewtonian heating |
| spellingShingle | Nazish Iftikhar Fatima Javed Muhammad Bilal Riaz Muhammad Abbas Abdullah M. Alsharif Y. S. Hamed Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels Advances in Difference Equations Maxwell fluid MHD Fractional-order derivatives Laplace transform Newtonian heating |
| title | Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels |
| title_full | Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels |
| title_fullStr | Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels |
| title_full_unstemmed | Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels |
| title_short | Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels |
| title_sort | role of newtonian heating on a maxwell fluid via special functions memory impact of local and nonlocal kernels |
| topic | Maxwell fluid MHD Fractional-order derivatives Laplace transform Newtonian heating |
| url | https://doi.org/10.1186/s13662-021-03658-5 |
| work_keys_str_mv | AT nazishiftikhar roleofnewtonianheatingonamaxwellfluidviaspecialfunctionsmemoryimpactoflocalandnonlocalkernels AT fatimajaved roleofnewtonianheatingonamaxwellfluidviaspecialfunctionsmemoryimpactoflocalandnonlocalkernels AT muhammadbilalriaz roleofnewtonianheatingonamaxwellfluidviaspecialfunctionsmemoryimpactoflocalandnonlocalkernels AT muhammadabbas roleofnewtonianheatingonamaxwellfluidviaspecialfunctionsmemoryimpactoflocalandnonlocalkernels AT abdullahmalsharif roleofnewtonianheatingonamaxwellfluidviaspecialfunctionsmemoryimpactoflocalandnonlocalkernels AT yshamed roleofnewtonianheatingonamaxwellfluidviaspecialfunctionsmemoryimpactoflocalandnonlocalkernels |