Trigonometric Cosine, Square, Sawtooth and Triangular Waveforms of Internal Heating Modulations for Three-Component Convection in a Couple Stress Liquid: A Detailed Analysis
- Title
- Trigonometric Cosine, Square, Sawtooth and Triangular Waveforms of Internal Heating Modulations for Three-Component Convection in a Couple Stress Liquid: A Detailed Analysis
- Creator
- Arshika S.N.; Tarannum S.
- Description
- In this paper, the main focus is to study the effect of internal heating modulations of sinusoidal and non-sinusoidal waveforms on a three-component convection in a couple stress liquid. This three-component layer is heated from below and salted with two solutes at the bottom. In order to facilitate a solution to the problem, linear case is formulated using the Venezian approach for modulations while the non-linear case is modeled using 7-mode generalized Lorenz equations. With the aim of quantifying the heat and mass transfer, average Nusselt and average Sherwood numbers are computed. The investigation reveals that, internal heating modulations show a stabilizing or destabilizing trend that precisely depends on the modulated frequency and appropriate waveforms. The effect of heat source and sink is recorded on different convection processes. The effect of the pertinent parameters and waveforms on the stability of the system and on heat and mass transfer have been captured via graphs. The results confirm that the heat and mass transfer escalates to its maximum due to the square waveform. In this research paper, six problems involving three types of convection in two different liquids are solved as limiting cases of the problem. 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.
- Source
- International Journal of Applied and Computational Mathematics, Vol-8, No. 4
- Date
- 2022-01-01
- Publisher
- Springer
- Subject
- Heat transfer; Internal heat; Lorenz model; Mass transfer; Three-component convection; Venezian approach
- Coverage
- Arshika S.N., Department of Mathematics, Centre for Mathematical Needs, CHRIST (Deemed to Be University), Bengaluru, 560029, India; Tarannum S., Department of Professional Studies, CHRIST (Deemed to Be University), Bengaluru, 560029, India
- Rights
- Restricted Access
- Relation
- ISSN: 23495103
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Arshika S.N.; Tarannum S., “Trigonometric Cosine, Square, Sawtooth and Triangular Waveforms of Internal Heating Modulations for Three-Component Convection in a Couple Stress Liquid: A Detailed Analysis,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 24, 2025, https://archives.christuniversity.in/items/show/14932.