The effect of modulation on heat transport by a weakly nonlinear thermal instability in the presence of applied magnetic field and internal heating

• Autorzy: Manjula S. H. , Kiran Palle , Narsimlu G. , Roslan R.

Identyfikatory

DOI

10.2478/ijame-2020-0052

• Języki publikacji: EN

Abstrakty

EN

The present paper deals with a weakly nonlinear stability problem under an imposed time-periodic thermal modulation. The temperature has two parts: a constant part and an externally imposed time-dependent part. We focus on stationary convection using the slow time scale and quantify convective amplitude through the real Ginzburg-Landau equation (GLE). We have used the classical fourth order Runge-Kutta method to solve the real Ginzburg-Landau equation. The effect of various parameters on heat transport is discussed through GLE. It is found that heat transport analysis is controlled by suitably adjusting the frequency and amplitude of modulation. The applied magnetic field (effect of Ha) is to diminish the heat transfer in the system. Three different types of modulations thermal, gravity, and magnetic field have been compared. It is concluded that thermal modulation is more effective than gravity and magnetic modulation. The magnetic modulation stabilizes more and gravity modulation stabilizes partially than thermal modulation.

Słowa kluczowe

EN

Ginzburg-Landau equation; temperature modulation; applied magnetic field; internal heating

PL

modulacja; pole magnetyczne; ogrzewanie

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2020
• Tom: Vol. 25, no. 4
• Strony: 96--115
• Opis fizyczny: Bibliogr. 62 poz., rys., wykr.

Twórcy

autor

Manjula S. H.

• Division of Mathematics Vignan's Foundation for Science, Technology and Research Guntur, Andhra Pradesh-522213, INDIA

autor

Kiran Palle

• Department of Mathematics Chaitanya Bharathi Institute of Technology Hyderabad, Telangana-500075, INDIA

autor

Narsimlu G.

• Department of Mathematics Chaitanya Bharathi Institute of Technology Hyderabad, Telangana-500075, INDIA

autor

Roslan R.

• Faculty of Applied Sciences and Technology University Tun Hussein Onn Malaysia 84600, Pagoh, Muar, Johor, MALAYSIA

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021)