The impact of Joule heating due to electric double layer (EDL) and viscous dissipation on electroosmotic mixed convection flow in a vertical microchannel with asymmetric heat fluxes is established in this article. The Poisson-Boltzmann, momentum and energy equations representing the electric potential, velocity profile and temperature distribution in the microchannel are obtained in dimensionless forms. Using the Debye-Hückel linearization, exact solutions are obtained for electric potential, velocity profile and temperature distributions by method of undetermined coefficients in the absence of viscous dissipation and Joule heating while an inbuilt Matlab function called pdepe is employed to solve the coupled nonlinear momentum and energy equations in the presence of Joule heating and viscous dissipation. Results show that the presence of Joule heating and viscous dissipation lead to decrease in velocity profile and temperature distributions throughout the microchannel.

本文建立了由双电层（EDL）和粘性耗散引起的焦耳热对垂直非对称热通量微通道中电渗混合对流的影响。以无量纲形式获得表示微通道中电势，速度分布和温度分布的Poisson-Boltzmann方程，动量方程和能量方程。使用Debye-Hückel线性化，在不存在粘性耗散和焦耳热的情况下，通过不确定系数的方法获得了电位，速度分布和温度分布的精确解，而内置的Matlab函数称为pdepe在存在焦耳热和粘性耗散的情况下，采用“方程”求解耦合的非线性动量和能量方程。结果表明，焦耳加热和粘性耗散的存在导致整个微通道的速度分布和温度分布降低。