… dissipation and Joule heating on MHD flow and heat transfer has … to derive governing equation
solutions. Nonlinear coupled … of non-uniform internal heat source/sink and Joule effect is …

… λ P where L and P are solutions of the following two problems:(3… , transient conduction, in a
plane wall of thickness e with heat … of this representation using the Joule heating problem. For …

… within capacitor by considering heat generation due to joule … as an extended surface quasi
1-D. In order to calculate the … / without internal heat production, and in steady and transient …

… facility of Joule heating and volumetric heat generation. The fluid flow and the heat transfer
within … Their study confirmed the existence of a dual solution. It concluded that the hybrid solid …

… of squeezing unsteady hydromagnetic nanofluid flow in a … effects of entropy production on
flow and heat transfer systems. … research for the validation of exact solutions. Ahmad et al. [48] …

… graded materials are a new generation of composites, with … integral transforms solution of
heat transfer in heterogeneous … increase inside the module by Joule effect and the temperature …

… , polymer manufacturing, sugar solutions, food processing, … number accelerate the internal
energy of the flow system and … motion but boost the heat transfer so that the energy and …

… exact solution for asymmetric transient problem of heat conduction … internal heat generation
due to Joule heating [44… constants D 1 –D 2n can be found. After calculating the integrals, the …

… -state analytical solutions for the exergy consumption rate. Temperatures at outer and inner
… If our quantity of interest is the entropy generation rate σ g and the exergy consumption rate …

… equations are derived for the electric potential, velocity profile, and temperature distribution
in the microchannel. Exact solutions for … the transient/steady mixed convective flow formation …