Advances in Nonlinear Heat Transfer in Fluids and Solids

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Authors: Ramoshweu Solomon Lebelo
Abstract: The impact of thermal conductivity on the thermal stability of a combustible material is studied in a stockpile modelled in a long cylindrical pipe. Two combustible material systems, one with constant thermal conductivity, the other one with variable thermal conductivity, are compared to analyse thermal stability in each case. A combustible material is the one that contains carbons or hydrocarbons that readily react with the oxygen of the system. Low-temperature oxidation or exothermic chemical reaction is the primary cause of spontaneous ignition. This is a theoretical study that involves mathematical approach to do the investigation. The nonlinear partial differential equations for heat transfer are solved numerically using the Finite Difference Method (FDM). Effects of embedded kinetic parameters on the temperature of the system are depicted graphically and discussed accordingly.
Authors: Paras Ram, Anil Kumar, Oluwole Daniel Makinde, Punit Kumar, Vimal Kumar Joshi
Abstract: Performance analysis of porous inclined slider bearing based on magnetite nanosuspension has been carried out to investigate the effects of slip parameter arising out of modeling. The expression for load carrying capacity has been derived analytically as a function of slip, magnetic, permeability and material parameters. Furthermore, the effect of an important term pertaining to the co-rotational derivative of magnetization is usually ignored by the researchers working on similar problems. However, as this term is expected to influence the load carrying capacity significantly, this paper investigates its effect on the bearing performance parameters under the present conditions. Besides, the effect of varying the inlet-outlet ratio has also been studied. It has been found that with an increase in the inlet-outlet ratio up to an optimum value, the load carrying capacity increases followed by a decreasing trend.
Authors: K. Ganesh Kumar, Bijjanal Jayanna Gireesha, B.C. Prasanna Kumara, Oluwole Daniel Makinde
Abstract: This paper explore the Marangoni boundary layer flow in a Casson nano liquid over a stretching sheet. The effect of chemical reaction and uniform heat source/sink are taken into the account. The standard nonlinear system is resolved numerically via Runge-Kutta based shooting scheme. Role of substantial parameters on flow fields as well as on heat and mass transportation rates are determined and conferred in depth through graphs.From the investigation it reveals that, the Marangoni number plays a connecting role between the velocity and temperature gradients on the boundary surface. Further,the higher values of Lewis number and chemical reaction parameter reduces the solutal thermal boundary layer thickness decreases.
Authors: K. Ganesh Kumar, Bijjanal Jayanna Gireesha, B.C. Prasanna Kumara, G.K. Ramesh, Oluwole Daniel Makinde
Abstract: A combined effect of thermal radiation and viscous dissipation over a melting moving surface is investigated. Casson liquid model is accounted as working liquid. The Brownian motion and thermophoresis in Buogiorno’s type nanofluid are retained. Numerical solutions are obtained for the reduced ordinary differential equations via RKF 45 method. The pertinent parameters on velocity, temperature and concentration are analyzed through plots and tables. Output demonstrated that higher values of melting, thermal radiation and viscous dissipation are enhanced the temperature. Validation of the present work is made with the existing literature.
Authors: S. Venkateswarlu, S.V.K. Varma, R.V.M.S.S. Kiran Kumar, Chakravarthula S.K. Raju, Putta Durga Prasad
Abstract: The present study aims to analyze the radiation absorption and viscous dissipation effects on MHD free convective Casson fluid flow over a vertical permeable semi-infinite plate in the presence of first order homogeneous chemical reaction. The time-dependent wall suction is assumed to occur at the permeable surface. The non-Newtonian fluid behavior is characterized by using the Casson fluid model. The coupled non-linear ordinary differential equations (ODE’s) are solved by perturbation technique. The impact of sundry parameters on the velocity, temperature, species concentration as well as the friction factor coefficient, the rate of heat and mass transfer coefficients are computed and analyzed through graphs.
Authors: Machireddy Gnaneswara Reddy, M.V.V.N.L. Sudha Rani, Oluwole Daniel Makinde
Abstract: The boundary layer flow of a heat transfer analysis on Carreau hydro magnetic fluid past a convectively nonlinear stretching surface analyzed. The nonlinear radiation, variable thermal conductivity and thermo diffusion effects are included in energy and species governing equations. The set of dimensionless integrated ordinary differential equations under the boundary restrictions obtained with the help of suitable similarity variable approach. The reduced governing flow equations with the boundary conditions are resolved numerically. Comparisons present results with existing literature and yields nice agreement .The description of results has been analyzed for the flow controlling embedded pertinent parameters by utilizing the plots and tables. It is revealed that energy distribution decays for enhancing values of variable thermal conductivity parameter whereas the opposite behavior to the thermal radiation parameter. The non-dimensional concentration boosts with the ascending values of Soret number.
Authors: K. Avinash, N. Sandeep, Oluwole Daniel Makinde
Abstract: The heat transfer in nanofluids plays a major role in solar energy, nuclear reactors, aerodynamics, etc. By keeping this in view, in this study, we investigated the flow and heat transfer nature of liquid film flow of ethylene glycol (EG)-Cu nanofluid in the presence of non-uniform heat source/sink. We considered the Jeffrey fluid model to investigate the flow and heat transfer behavior. The governing equations are transformed as ordinary differential equations with the aid of similarity variables. Numerical results are carried out by employing bvp5c Matlab package. The influence of pertinent parameters on velocity and temperature profiles along with the reduced Nusselt number is discussed with the help of graphs and tabular results. It is observed that the rising value of the non-uniform heat source/sink parameter acts like heat generators and regulates the thermal field. Rising the film thickness enhances the heat transfer rate.
Authors: Poojari Borappa Sampath Kumar, Bijjanal Jayanna Gireesha, Basavarajappa Mahanthesh, Rama Subba Reddy Gorla
Abstract: Nonlinear thermal convection in heat and mass transfer mechanism of dissipating Jeffrey liquid is investigated. The impact of cross diffusion and convective conditions are also accounted. Before integrating pertinent partial differential equations; a set similarity variables are employed to reduce them into multidegree ordinary differential equations. The validation process comprised a comparison with existing data, reaching an excellent agreement. Later, the influence of distinct physical parameters on diverse flow characteristics are comprehensively discussed and analyzed. It is established that the nonlinear convection is favourable for the escalation of the thickness of momentum boundary layer. Further, the convective conditions are used as controlling constraints.
Authors: Christian John Etwire, Ibrahim Yakubu Seini, Rabiu Musah
Abstract: The combined effect of suction and thermal conductivity on the boundary layer flow of oil–based nanofluid over a porous stretching surface has been investigated. Similarity techniques were employed in transforming the governing partial differential equations into a coupled third order ordinary differential equations. The higher third order ordinary differential equations were then reduced into a system of first order ordinary differential equations and solved numerically using the fourth order Runge-Kutta algorithm with a shooting method. The results were presented in tabular and graphically forms for various controlling parameters. It was found that increasing the thermal conductivities of the base fluid (oil) and nanoparticle size (CuO) of the nanofluid did not affect the velocity boundary layer thickness but depreciates with suction and permeability. The suction parameter and thermal conductivity of the base fluid also made the thermal boundary layer thinner.

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