Characterization of thermal damage of skin tissue subjected to moving heat source in the purview of dual phase lag theory with memory-dependent derivative
- Title
- Characterization of thermal damage of skin tissue subjected to moving heat source in the purview of dual phase lag theory with memory-dependent derivative
- Creator
- Kumar R.; Tiwari R.; Singhal A.; Mondal S.
- Description
- This investigation is devoted to exhibit the thermal damage of skin tissue exposed to a moving heat source. Modelling of the problem is performed by adopting dual phase lag theory of bio heat transfer in context of memory dependent derivative. Laplace transform technique has been adopted to represent the analytical solutions of temperature and thermal damage of skin tissue. Thermal damages to the tissues are calculated by the extent of the denatured protein employing with the Arrhenius equation. In order to predict the significance of memory dependent derivative approach, computational results of temperature and thermal damage are evaluated in the frame of different kernel functions as well as time-delay. For the purpose of exhibiting the attractiveness of the present model, obtained results are compared with the results corresponding to the absence of memory dependent derivative. Also, the impact of the velocity of moving heat source has been precisely investigated on temperature variation and thermal damage of skin tissue using quantitative results. Authors believe that this study will be helpful to study the thermal treatment of several diseases such as hyperthermia. 2021 Informa UK Limited, trading as Taylor & Francis Group.
- Source
- Waves in Random and Complex Media, Vol-34, No. 4, pp. 3510-3527.
- Date
- 2024-01-01
- Publisher
- Taylor and Francis Ltd.
- Subject
- Dual phase lag; kernel function; memory-dependent derivative; moving heat source; time delay
- Coverage
- Kumar R., Department of Mathematics, Central University of South Bihar, Gaya, India; Tiwari R., Nitishwar College, Babasaheb Bhimrao Ambedkar Bihar University, Muzaffarpur, India; Singhal A., Department of Computational Sciences, School of Sciences, Christ University, NCR, Delhi, India; Mondal S., Department of Mathematics, Basirhat College, Kolkata, India
- Rights
- Restricted Access
- Relation
- ISSN: 17455030
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Kumar R.; Tiwari R.; Singhal A.; Mondal S., “Characterization of thermal damage of skin tissue subjected to moving heat source in the purview of dual phase lag theory with memory-dependent derivative,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 24, 2025, https://archives.christuniversity.in/items/show/13843.