2012 - Fellow, The World Academy of Sciences
His primary areas of study are Integral transform, Mechanics, Thermodynamics, Mathematical analysis and Heat transfer. His Integral transform study combines topics from a wide range of disciplines, such as Laminar flow, Partial differential equation, Applied mathematics, Nonlinear system and Eigenvalues and eigenvectors. His Applied mathematics research includes elements of Variable, Thermal conduction and Mathematical optimization.
In the subject of general Mathematical analysis, his work in Boundary value problem, Method of characteristics and Numerical partial differential equations is often linked to Exponential integrator, thereby combining diverse domains of study. His study in the field of Heat transfer coefficient also crosses realms of Single domain. His biological study spans a wide range of topics, including Duct and Pipe flow.
His primary areas of investigation include Integral transform, Mechanics, Mathematical analysis, Thermodynamics and Laminar flow. The Integral transform study combines topics in areas such as Boundary value problem, Eigenvalues and eigenvectors, Eigenfunction, Applied mathematics and Nonlinear system. Renato M. Cotta interconnects Variable and Porous medium in the investigation of issues within Eigenfunction.
His work in Mechanics addresses subjects such as Thermal conduction, which are connected to disciplines such as Thermal conductivity and Inverse problem. His Mathematical analysis study frequently intersects with other fields, such as Navier–Stokes equations. His Laminar flow study incorporates themes from Geometry, Pipe flow, Boundary layer, Duct and Reynolds number.
His scientific interests lie mostly in Integral transform, Mechanics, Mathematical analysis, Eigenvalues and eigenvectors and Eigenfunction. His Integral transform research includes themes of Mass transfer, Porous medium, Applied mathematics, Thermal conduction and Nonlinear system. His Thermal conduction research focuses on Forced convection and how it connects with Biot number.
His study in Convection extends to Mathematical analysis with its themes. His Eigenvalues and eigenvectors research is multidisciplinary, incorporating elements of Transformation and Convection–diffusion equation. His work carried out in the field of Eigenfunction brings together such families of science as Navier–Stokes equations and Variable.
Renato M. Cotta focuses on Integral transform, Mechanics, Mathematical analysis, Laminar flow and Eigenfunction. Renato M. Cotta combines subjects such as Natural convection, Navier–Stokes equations, Porous medium and Nonlinear system with his study of Integral transform. His work on Reynolds number, Heat transfer and Mass transfer as part of general Mechanics research is frequently linked to Limiting current, bridging the gap between disciplines.
His work in Heat transfer addresses issues such as Flow, which are connected to fields such as Partial differential equation and Nusselt number. His study in Laminar flow is interdisciplinary in nature, drawing from both Boundary layer, Turbulence, Thermal conduction, Convective heat transfer and Wind tunnel. Within one scientific family, he focuses on topics pertaining to Convection–diffusion equation under Eigenfunction, and may sometimes address concerns connected to Numerical solution of the convection–diffusion equation, Convection and Transcendental equation.
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Integral Transforms in Computational Heat and Fluid Flow
Renato Machado Cotta.
Heat Conduction: Lumped Analysis, Integral Transforms, Symbolic Computation
Renato Machado Cotta;M. D. Mikhaĭlov.
Thermal measurements and inverse techniques
Helcio R.B. Orlande;Olivier Fudym;Denis Maillet;Renato M. Cotta.
Benchmark results in computational heat and fluid flow : the integral transform method
Renato M. Cotta.
International Journal of Heat and Mass Transfer (1994)
HYBRID NUMERICAL/ANALYTICAL APPROACH TO NONLINEAR DIFFUSION PROBLEMS
R. M. Cotta.
Numerical Heat Transfer Part B-fundamentals (1990)
Hybrid Methods and Symbolic Computations
Renato M. Cotta;Mikhail D. Mikhailov.
Laminar forced convection inside ducts with periodic variation of inlet temperature
R.M. Cotta;M.N. Özişik.
International Journal of Heat and Mass Transfer (1986)
An inverse problem of parameter estimation for heat and mass transfer in capillary porous media
L.B. Dantas;H.R.B. Orlande;R.M. Cotta.
International Journal of Heat and Mass Transfer (2003)
Integral transform solutions of transient natural convection in enclosures with variable fluid properties
M.A. Leal;H.A. Machado;R.M. Cotta.
International Journal of Heat and Mass Transfer (2000)
Transient conjugated forced convection in ducts with periodically varying inlet temperature
R.M. Cotta;M.D. Mikhailov;M.N. Özişik.
International Journal of Heat and Mass Transfer (1987)
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