wseas-12209-20261015095938-3f7ed1 20261015095938950 wseas/wseas wseas.group@gmail.com WSEAS WSEAS Transactions on Heat and Mass Transfer 1790-5044 2224-3461 05 25 2026 05 25 2026 21 Soumen Shaw Department of mathematics, Dinabandhu Andrews College, University of Calcutta. INDIA Nikos Mastorakis Technical University of Sofia. Sofia, BULGARIA The present study examines the thermo-diffusive response of a homogeneous, isotropic, semi-infinite medium subjected to a finite rotational field. The analysis is carried out within the framework of the generalized theory of thermoelasticity incorporating mass diffusion, which accounts for finite thermal wave speeds and diffusion effects. The coupled governing equations describing displacement, stress, temperature, and concentration fields are formulated and solved analytically. To infer the physical behavior of the medium, a complex quartic characteristic equation is derived and solved using Descartes’ algorithm in conjunction with the irreducible Cardan’s method. Numerical computations are performed to illustrate the theoretical developments. The effects of rotation and thermo-diffusion on displacement components, stress distribution, and temperature variations are presented graphically and investigated. The results reveal significant influences of rotation and diffusion parameters on the thermoelastic response. The present investigation is expected to be useful in understanding thermo-diffusive phenomena arising in geophysical and engineering applications. 10 14 2026 10 14 2026 167 14 https://creativecommons.org/licenses/by/4.0/ 10.37394/232012.2026.21.14 https://wseas.com/journals/articles.php?id=12209 Nowacki, W. Dynamic Problems of Diffusion in Solids, 8(1), 261-266, 1976. https://doi.org/10.1016/0013-7944(76)90091-6 Nowacki, W. Dynamic Problems of Thermoelasticity, J. Appl. Mech., 44(2), 336-367, 1977. https://doi.org/10.1115/1.3424081 Olesiak, Z.S. Problems of Thermodiffusion of deformable solids, Material Sciences, 34, 297- Nowacki, W. Couple-Stresses in the Theory of Thermoelasticity. In: Parkus, H., Sedov, L.I. (eds) Irreversible Aspects of Continuum Mechanics and Transfer of Physical Characteristics in Moving Fluids. IUTAM Symposia. Springer, Vienna. 1968. https://doi.org/10.1007/978-3-7091-5581-3_17 Gawinecki, J.A. and Szymaniec, A. Global solution of the Cauchy problem in nonlinear thermoelastic diffusion in solid body, (PAMM) Proc Appl Math Mech., 1, 446-447, 2002. https://zbmath.org/1419.74098. Zbl 1419.74098 Lord, H. W. and Shulman, Y. A generalized dynamical theory of thermoelasticity. Journal of the Mechanics and Physics of Solids, 15, 299–309, 1967. https://doi.org/10.1016/0022-5096(67)90024-5 Green, A. E. and Lindsay, K. A. Thermoelasticity. Journal of Elasticity, 2, 1–7, 1972. https://doi.org/10.1007/BF00045689 Green, A. E. and Naghdi, P. M. On undamped heat waves in an elastic solid. Journal of Thermal Stresses, 15, 253–264, 1992. https://doi.org/10.1080/01495739208946136 Green, A. E. and Naghdi, P. M. Thermoelasticity without energy dissipation. Journal of Elasticity, 31, 189–208, 1993. https://doi.org/10.1007/BF00044969 Shaw, S. and Mukhopadhyay, B. Moving heat source response in micropolar half-space with two-temperature theory, Continuum Mechanics and Thermodynamics, 25(2), 525-535, 2013. https://doi.org/10.1007/s00161-012-0284-3