Transfer heat via cattaneo heat flux theory

Authors

  • Alexandru Barbaneagra Alexandru Ioan Cuza University, Iași, Romania

Keywords:

Thermal, Heat-transfer law, Flux theory, Fourier, Cattaneo effect

Abstract

The usual Fourier heat-transfer law is retained in the fluid phase while the solid phase is allowed to transfer heat via Cattaneo heat flux theory. This paper aims to investigate the onset of convection in a layer of fluid saturated Brinkman with rotating porous medium taking into account fluid inertia and local thermal non-equillibrium (LTNE) between the solid and fluid phases with Cattaneo effect in the solid. A two field is used for the energy equations each representing the solid and fluid phases separately.

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References

Alamri, S. Z., Khan, A. A., Azeez, M., & Ellahi, R. (2019). Effects of mass transfer on MHD second grade fluid towards stretching cylinder: a novel perspective of Cattaneo–Christov heat flux model. Physics Letters A, 383(2-3), 276-281.

Haddad, S. A. M. (2014). Thermal instability in Brinkman porous media with Cattaneo–Christov heat flux. International journal of heat and mass transfer, 68, 659-668.

Hafeez, A., Khan, M., & Ahmed, J. (2020). Flow of Oldroyd-B fluid over a rotating disk with Cattaneo– Christov theory for heat and mass fluxes. Computer Methods and Programs in Biomedicine, 191, 105374.

Hafeez, A., Khan, M., & Ahmed, J. (2020). Thermal aspects of chemically reactive Oldroyd-B fluid flow over a rotating disk with Cattaneo–Christov heat flux theory. Journal of Thermal Analysis and Calorimetry, 1-11.

Hayat, T., Haider, F., Muhammad, T., & Alsaedi, A. (2017). Darcy-Forchheimer flow with CattaneoChristov heat flux and homogeneous-heterogeneous reactions. PloS one, 12(4), e0174938.

Hayat, T., Ijaz Khan, M., Shehzad, S. A., Imran Khan, M., & Alsaedi, A. (2018). Numerical simulation of Darcy–Forchheimer flow of third grade liquid with Cattaneo–Christov heat flux model. Mathematical Methods in the Applied Sciences, 41(12), 4352-4359.

Hayat, T., Khan, M. I., Farooq, M., Alsaedi, A., & Khan, M. I. (2017). Thermally stratified stretching flow with Cattaneo–Christov heat flux. International Journal of Heat and Mass Transfer, 106, 289294.

Hayat, T., Khan, M. I., Farooq, M., Alsaedi, A., Waqas, M., & Yasmeen, T. (2016). Impact of Cattaneo– Christov heat flux model in flow of variable thermal conductivity fluid over a variable thicked surface. International Journal of Heat and Mass Transfer, 99, 702-710.

Hayat, T., Khan, M. I., Farooq, M., Yasmeen, T., & Alsaedi, A. (2016). Stagnation point flow with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions. Journal of Molecular Liquids, 220, 49-55.

Hayat, T., Kiran, A., Imtiaz, M., & Alsaedi, A. (2017). Unsteady flow of carbon nanotubes with chemical reaction and Cattaneo-Christov heat flux model. Results in physics, 7, 823-831.

Hayat, T., Muhammad, T., Al-Mezal, S., & Liao, S. J. (2016). Darcy-Forchheimer flow with variable thermal conductivity and Cattaneo-Christov heat flux. International Journal of Numerical Methods for Heat & Fluid Flow.

Hayat, T., Muhammad, T., Mustafa, M., & Alsaedi, A. (2017). Three-dimensional flow of Jeffrey fluid with Cattaneo–Christov heat flux: an application to non-Fourier heat flux theory. Chinese Journal of Physics, 55(3), 1067-1077.

Hayat, T., Qayyum, S., Imtiaz, M., & Alsaedi, A. (2017). Flow between two stretchable rotating disks with Cattaneo-Christov heat flux model. Results in Physics, 7, 126-133.

Hayat, T., Waqas, M., Shehzad, S. A., & Alsaedi, A. (2016). On 2D stratified flow of an Oldroyd-B fluid with chemical reaction: an application of non-Fourier heat flux theory. Journal of Molecular Liquids, 223, 566-571.

Hayat, T., Zubair, M., Ayub, M., Waqas, M., & Alsaedi, A. (2016). Stagnation point flow towards nonlinear stretching surface with Cattaneo-Christov heat flux. The European Physical Journal Plus, 131(10), 355.

Hayat, T., Zubair, M., Waqas, M., Alsaedi, A., & Ayub, M. (2017). On doubly stratified chemically reactive flow of Powell–Eyring liquid subject to non-Fourier heat flux theory. Results in Physics, 7, 99-106.

Khan, M. I., Waqas, M., Hayat, T., Khan, M. I., & Alsaedi, A. (2017). Chemically reactive flow of upperconvected Maxwell fluid with Cattaneo–Christov heat flux model. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39(11), 4571-4578.

Meraj, M. A., Shehzad, S. A., Hayat, T., Abbasi, F. M., & Alsaedi, A. (2017). Darcy-Forchheimer flow of variable conductivity Jeffrey liquid with Cattaneo-Christov heat flux theory. Applied Mathematics and Mechanics, 38(4), 557-566.

Muhammad, N., Nadeem, S., & Mustafa, T. (2017). Squeezed flow of a nanofluid with Cattaneo–Christov heat and mass fluxes. Results in Physics, 7, 862-869.

Mustafa, M., Hayat, T., & Alsaedi, A. (2017). Rotating flow of Maxwell fluid with variable thermal conductivity: an application to non-Fourier heat flux theory. International Journal of Heat and Mass Transfer, 106, 142-148.

Nagendramma, V., Raju, C. S. K., Mallikarjuna, B., Shehzad, S. A., & Leelarathnam, A. (2018). 3D Casson nanofluid flow over slendering surface in a suspension of gyrotactic microorganisms with Cattaneo-Christov heat flux. Applied Mathematics and Mechanics, 39(5), 623-638.

Nazir, U., Saleem, S., Nawaz, M., Sadiq, M. A., & Alderremy, A. A. (2020). Study of transport phenomenon in Carreau fluid using Cattaneo–Christov heat flux model with temperature dependent diffusion coefficients. Physica A: Statistical Mechanics and its Applications, 123921.

Ramandevi, B., Reddy, J. R., Sugunamma, V., & Sandeep, N. (2018). Combined influence of viscous dissipation and non-uniform heat source/sink on MHD non-Newtonian fluid flow with CattaneoChristov heat flux. Alexandria Engineering Journal, 57(2), 1009-1018.

Rasool, G., & Zhang, T. (2019). Darcy-Forchheimer nanofluidic flow manifested with Cattaneo-Christov theory of heat and mass flux over non-linearly stretching surface. PLoS One, 14(8), e0221302.

Saleem, S., Awais, M., Nadeem, S., Sandeep, N., & Mustafa, M. T. (2017). Theoretical analysis of upperconvected Maxwell fluid flow with Cattaneo–Christov heat flux model. Chinese journal of physics, 55(4), 1615-1625.

Shehzad, S. A., Abbasi, F. M., Hayat, T., & Alsaedi, A. (2016). Cattaneo-Christov heat flux model for Darcy-Forchheimer flow of an Oldroyd-B fluid with variable conductivity and non-linear convection. Journal of Molecular Liquids, 224, 274-278.

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Published

2023-08-18

How to Cite

Barbaneagra, A. (2023). Transfer heat via cattaneo heat flux theory. Tennessee Research International of Social Sciences, 5(2), 1–9. Retrieved from http://triss.org/index.php/journal/article/view/19

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Section

Research Articles