Fig. 4: Estimation of normalised driving force \(\tilde{F}\), as well as contact angles \(\theta^{\rm{{eff}}}_{\rm{{wa|s}}}\) and \(\theta^{\rm{{eff}}}_{\rm{{wa|o}}}\), for water and ethylene glycol droplets on structured surfaces imbibed with various lubricants. | Communications Physics

Fig. 4: Estimation of normalised driving force \(\tilde{F}\), as well as contact angles \(\theta^{\rm{{eff}}}_{\rm{{wa|s}}}\) and \(\theta^{\rm{{eff}}}_{\rm{{wa|o}}}\), for water and ethylene glycol droplets on structured surfaces imbibed with various lubricants.

From: Bidirectional motion of droplets on gradient liquid infused surfaces

Fig. 4: Estimation of normalised driving force 
                        
                          
                        
                        $$\tilde{F}$$
                        
                          
                            
                              F
                            
                            
                              ̃
                            
                          
                        
                      , as well as contact angles 
                        
                          
                        
                        $$\theta^{\rm{{eff}}}_{\rm{{wa|s}}}$$
                        
                          
                            
                              θ
                            
                            
                              wa∣s
                            
                            
                              eff
                            
                          
                        
                       and 
                        
                          
                        
                        $$\theta^{\rm{{eff}}}_{\rm{{wa|o}}}$$
                        
                          
                            
                              θ
                            
                            
                              wa∣o
                            
                            
                              eff
                            
                          
                        
                      , for water and ethylene glycol droplets on structured surfaces imbibed with various lubricants.

Each point is the average of five apparent contact angle θapp measurements of sessile droplets at a given solid fraction fs. The surrounding coloured area represents the standard deviation. Dashed lines are fits of Eq. (13) using the least-square method. The gradient of the fits corresponds to \(\tilde{F}\), while extrapolations of those fits to fs = 1 and fs = 0 give a measure of the values of the cosine of droplet contact angle on pure solid, \(\cos {\theta }_{{\rm{wa}}| {\rm{s}}}^{{\rm{eff}}}\), and on pure lubricant, \(\cos {\theta }_{{\rm{wa}}| {\rm{o}}}^{{\rm{eff}}}\), respectively.

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