On Generalized Fourier’s and Fick’s Laws in Bio-Convection Flow of Magnetized Burgers’ Nanofluid Utilizing Motile Microorganisms
Abstract
:1. Introduction
2. Mathematical Formulation
3. Numerical Approach
4. Results and Discussion
5. Conclusions
Funding
Acknowledgments
Conflicts of Interest
References
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0.1 0.5 1.0 | 0.1 | 0.1 | 0.1 | 0.1 | 0.2 | 0.2 | 0.2 | 0.2867 0.9398 1.0320 |
0.4 | 0.2 0.5 0.8 | 0.1 | 0.1 | 0.1 | 0.2 | 0.2 | 0.2 | 0.8569 0.6030 0.2641 |
0.4 | 0.1 | 0.2 0.8 1.6 | 0.1 | 0.1 | 0.2 | 0.2 | 0.2 | 0.9142 0.8803 0.8365 |
0.4 | 0.1 | 0.1 | 0.2 1.0 2.0 | 0.1 | 0.2 | 0.2 | 0.2 | 0.9203 0.9239 0.9284 |
0.4 | 0.1 | 0.1 | 0.1 | 0.2 1.0 2.0 | 0.2 | 0.2 | 0.2 | 0.9204 0.9242 0.9291 |
0.4 | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 0.5 1.0 | 0.2 | 0.2 | 0.9158 0.9112 0.9591 |
0.4 | 0.1 | 0.1 | 0.1 | 0.1 | 0.2 | 0.1 0.5 1.0 | 0.2 | 0.9090 0.9506 0.9991 |
0.4 | 0.1 | 0.1 | 0.1 | 0.1 | 0.2 | 0.2 | 0.1 0.5 1.0 | 0.9463 0.9112 0.8681 |
0.1 0.5 1.0 | 0.1 | 0.3 | 0.2 | 0.4 | 0.3 | 0.2060 0.2048 0.2035 |
0.4 | 0.2 0.5 0.8 | 0.3 | 0.2 | 0.4 | 0.3 | 0.2068 0.2114 0.2149 |
0.4 | 0.1 | 0.1 0.4 0.8 | 0.2 | 0.4 | 0.3 | 0.2059 0.2026 0.1982 |
0.4 | 0.1 | 0.3 | 0.1 0.4 0.8 | 0.4 | 0.3 | 0.2078 0.2033 0.1968 |
0.4 | 0.1 | 0.3 | 0.2 | 0.1 0.8 1.6 | 0.3 | 0.3130 0.1961 0.1824 |
0.4 | 0.1 | 0.3 | 0.2 | 0.4 | 0.1 0.5 1.0 | 0.0871 0.2791 0.3787 |
0.1 0.5 1.0 | 0.1 | 0.3 | 0.2 | 0.4 | 0.3 | 0.2303 0.2295 0.2287 |
0.4 | 0.2 0.5 0.8 | 0.3 | 0.2 | 0.4 | 0.3 | 0.2310 0.2377 0.2346 |
0.4 | 0.1 | 0.1 0.4 0.8 | 0.2 | 0.4 | 0.3 | 0.2087 0.2399 0.2451 |
0.4 | 0.1 | 0.3 | 0.1 0.4 0.8 | 0.4 | 0.3 | 0.2424 0.2236 0.2033 |
0.4 | 0.1 | 0.3 | 0.2 | 0.1 0.8 1.6 | 0.3 | 0.2278 0.2316 0.2346 |
0.4 | 0.1 | 0.3 | 0.2 | 0.4 | 0.1 0.8 1.6 | 0.0860 0.4802 0.7137 |
0.1 0.5 1.0 | 0.1 | 0.1 | 0.1 | 0.3 | 0.1 | 0.1 | 0.2786 0.2771 0.2755 |
0.4 | 0.2 0.5 0.8 | 0.1 | 0.1 | 0.3 | 0.1 | 0.1 | 0.2796 0.2855 0.2907 |
0.4 | 0.1 | 0.2 0.8 1.6 | 0.1 | 0.3 | 0.1 | 0.1 | 0.2776 0.2781 0.2788 |
0.4 | 0.1 | 0.1 | 0.2 1.0 2.0 | 0.3 | 0.1 | 0.1 | 0.2775 0.2774 0.2773 |
0.4 | 0.1 | 0.1 | 0.1 | 0.1 0.8 1.6 | 0.1 | 0.1 | 0.0900 0.4251 0.5793 |
0.4 | 0.1 | 0.1 | 0.1 | 0.3 | 0.2 0.5 1.0 | 0.1 | 0.2757 0.2565 0.2265 |
0.4 | 0.1 | 0.1 | 0.1 | 0.3 | 0.1 | 1.0 2.0 3.0 | 0.2373 0.2973 0.3184 |
Pr | Iqbal et al. [30] | Present Results |
---|---|---|
0.7 | 0.45312 | 0.45312 |
2.0 | 0.90894 | 0.90894 |
7.0 | 1.88986 | 1.88985 |
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Alshomrani, A.S. On Generalized Fourier’s and Fick’s Laws in Bio-Convection Flow of Magnetized Burgers’ Nanofluid Utilizing Motile Microorganisms. Mathematics 2020, 8, 1186. https://doi.org/10.3390/math8071186
Alshomrani AS. On Generalized Fourier’s and Fick’s Laws in Bio-Convection Flow of Magnetized Burgers’ Nanofluid Utilizing Motile Microorganisms. Mathematics. 2020; 8(7):1186. https://doi.org/10.3390/math8071186
Chicago/Turabian StyleAlshomrani, Ali Saleh. 2020. "On Generalized Fourier’s and Fick’s Laws in Bio-Convection Flow of Magnetized Burgers’ Nanofluid Utilizing Motile Microorganisms" Mathematics 8, no. 7: 1186. https://doi.org/10.3390/math8071186